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@ELECTRONIC{adler-nordenstam2010dyson,
  author = {Adler, M. and Nordenstam, E. and van Moerbeke, P.},
  year = {2010},
  title = {{The Dyson Brownian minor process}},
  note = {arXiv:1006.2956 [math.PR]},
  file = {:/home/leo/References/a/Adler_Nordenstam_Brownian_Minor2010.pdf:PDF}
}

@ARTICLE{adler2005virasoro,
  author = {Adler, M. and Van Moerbeke, P.},
  title = {{Virasoro action on Schur function expansions, skew Young tableaux,
	and random walks}},
  journal = {Communications on Pure and Applied Mathematics},
  year = {2005},
  volume = {58},
  pages = {362--408},
  number = {3},
  note = {arXiv:math/0309202 [math.PR]},
  file = {:a/Adler_vMoerbeke_Virasoro_Schur_2005.pdf:PDF},
  issn = {1097-0312},
  publisher = {Wiley Online Library}
}

@ARTICLE{Albeverio1998,
  author = {S. Albeverio and Yu. G. Kondratiev and M. Roeckner},
  title = {{A}nalysis and {G}eometry on {C}onfiguration {S}paces},
  journal = {Journal of Functional Analysis},
  year = {1998},
  volume = {154},
  pages = {444-500},
  file = {:home/leo/References/a/Albeverio1998.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.05}
}

@ARTICLE{Andrews1975,
  author = {George E. Andrews},
  title = {Identities in {C}ombinatorics. {II}: {A} $q$-{A}nalog of the {L}agrange
	{I}nversion {T}heorem},
  journal = {Proceedings of the American Mathematical Society},
  year = {1975},
  volume = {53},
  pages = {240-245},
  number = {1},
  file = {:home/leo/References/a/Andrews1975.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.29}
}

@ARTICLE{Antoniak1974,
  author = {Charles E. Antoniak},
  title = {{Mixtures of Dirichlet Processes with Applications to Bayesian Nonparametric
	Problems}},
  journal = {Ann. Statist.},
  year = {1974},
  volume = {2},
  pages = {1152-1174},
  number = {6},
  file = {:home/leo/References/a/Antoniak1974.pdf:PDF},
  owner = {leo},
  timestamp = {2010.01.12}
}

@ARTICLE{Aoki2008,
  author = {Aoki, M.},
  title = {{Thermodynamic limits of macroeconomic or financial models: One-and
	two-parameter Poisson--Dirichlet models}},
  journal = {Journal of Economic Dynamics and Control},
  year = {2008},
  volume = {32},
  pages = {66--84},
  number = {1},
  file = {:home/leo/References/a/Aoki2008.pdf:PDF},
  publisher = {Elsevier}
}

@ARTICLE{Aval2002,
  author = {J. -C. Aval and F. Bergeron and N. Bergeron},
  title = {Ideals of Quasi-Symmetric Functions and Super-Covariant Polynomials
	for S_n},
  year = {2002},
  abstract = {The aim of this work is to study the quotient ring R_n of the ring
	Q[x_1,...,x_n] over the ideal J_n generated by non-constant homogeneous
	quasi-symmetric functions. We prove here that the dimension of R_n
	is given by C_n, the n-th Catalan number. This is also the dimension
	of the space SH_n of super-covariant polynomials, that is defined
	as the orthogonal complement of J_n with respect to a given scalar
	product. We construct a basis for R_n whose elements are naturally
	indexed by Dyck paths. This allows us to understand the Hilbert series
	of SH_n in terms of number of Dyck paths with a given number of factors.},
  comments = {LaTeX, 3 figures, 12 pages},
  eprint = {math/0202071},
  file = {:home/leo/References/a/Aval2002.pdf:PDF},
  oai2identifier = {math/0202071},
  owner = {leo},
  timestamp = {2009.03.16},
  url = {http://arxiv.org/abs/math/0202071}
}

@ARTICLE{Baik1999,
  author = {Baik, J. and Deift, P. and Johansson, K.},
  title = {{On the distribution of the length of the second row of a Young diagram
	under Plancherel measure}},
  journal = {Geometric And Functional Analysis},
  year = {2000},
  volume = {10},
  pages = {702--731},
  number = {4},
  note = {arXiv:math/9901118 [math.CO]},
  publisher = {Springer}
}

@ARTICLE{baik1999distribution,
  author = {Baik, J. and Deift, P. and Johansson, K.},
  title = {{On the distribution of the length of the longest increasing subsequence
	of random permutations}},
  journal = {Journal of the American Mathematical Society},
  year = {1999},
  volume = {12},
  pages = {1119--1178},
  number = {4},
  note = {arXiv:math/9810105 [math.CO]},
  publisher = {American Mathematical Society}
}

@ARTICLE{baik_rains2001algebraic,
  author = {Baik, J. and Rains, E.M.},
  title = {{Algebraic aspects of increasing subsequences}},
  journal = {Duke Mathematical Journal},
  year = {2001},
  volume = {109},
  pages = {1--66},
  number = {1},
  note = {arXiv:math/9905083 [math.CO]},
  file = {:/home/leo/References/b/baik_rains_2001_algebraic.pdf:PDF},
  issn = {0012-7094},
  publisher = {Durham, NC: Duke University Press, 1935-}
}

@ARTICLE{baik_rains2001asymptotics,
  author = {Baik, J. and Rains, E.M.},
  title = {{The asymptotics of monotone subsequences of involutions}},
  journal = {Duke Mathematical Journal},
  year = {2001},
  volume = {109},
  pages = {205--282},
  number = {2},
  note = {arXiv:math/9905084 [math.CO]},
  file = {:/home/leo/References/b/baik_rains_2001_asymptotics.pdf:PDF},
  issn = {0012-7094},
  publisher = {Durham, NC: Duke University Press, 1935-}
}

@ARTICLE{baik_rains2001symmetrized,
  author = {Baik, J. and Rains, E.M.},
  title = {{Symmetrized random permutations}},
  journal = {Random matrix models and their applications},
  year = {2001},
  pages = {1--29},
  note = {arXiv:math/9910019 [math.CO]},
  file = {:/home/leo/References/b/baik_rains_2001_symmetrized.pdf:PDF}
}

@CONFERENCE{Bailey2005,
  author = {Sarah Bailey},
  title = {The Symmetric Measure of the Adic Transformation on the Euler Graph},
  year = {2005},
  file = {:home/leo/References/b/Bailey2005.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.02}
}

@CONFERENCE{Bailey2005a,
  author = {Sarah Bailey and Michael Keane and Karl Petersen and Ibrahim Salama},
  title = {Ergodicity of the Adic Transformation on the Euler Graph},
  year = {2005},
  file = {:home/leo/References/b/Bailey2005a.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.02}
}

@ARTICLE{Flajolet2002,
  author = {Cyril Banderier and Philippe Flajolet},
  title = {Basic analytic combinatorics of directed lattice paths},
  journal = {Theoretical Computer Science},
  year = {2002},
  volume = {281},
  pages = {37-80},
  file = {:home/leo/References/f/Flajolet2002.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.30}
}

@ARTICLE{Barbour2000,
  author = {Barbour, AD and Ethier, SN and Griffiths, RC},
  title = {{A transition function expansion for a diffusion model with selection}},
  journal = {Annals of Applied Probability},
  year = {2000},
  pages = {123--162},
  file = {:home/leo/References/b/Barbour2000.pdf:PDF},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{Baryshnikov_GUE2001,
  author = {Baryshnikov, Yu.},
  title = {{GUEs and queues}},
  journal = {Probab. Theory Relat. Fields},
  year = {2001},
  volume = {119},
  pages = {256-274},
  file = {:/home/leo/References/b/Baryshnikov-PTRF-2001.pdf:PDF},
  owner = {leo},
  timestamp = {2010.11.19}
}

@ARTICLE{Battle1980,
  author = {Guy A. Battle and Lon Rosen},
  title = {{The FKG inequality for the Yukawa_2 quantum field theory}},
  journal = {Journal of Statistical Physics},
  year = {1980},
  volume = {22},
  pages = {123-192},
  number = {2},
  owner = {leo},
  timestamp = {2009.06.21}
}

@ARTICLE{Berele2009,
  author = {Allan Berele and Bridget Eileen Tenner},
  title = {Doubly Symmetric Functions},
  year = {2009},
  month = mar,
  note = {arXiv:0903.5306v1 [math.CO]},
  abstract = {In this paper we introduce doubly symmetric functions, arising from
	the equivalence of particular linear combinations of Schur functions
	and hook Schur functions. We study algebraic and combinatorial aspects
	of doubly symmetric functions, in particular as they form a subalgebra
	of the algebra of symmetric functions. This subalgebra is generated
	by the odd power sum symmetric functions. One consequence is that
	a Schur function itself is doubly symmetric if and only if it is
	the Schur function of a staircase shape.},
  comments = {11 pages},
  eprint = {0903.5306},
  file = {:home/leo/References/b/Berele2009.pdf:PDF},
  oai2identifier = {0903.5306},
  owner = {leo},
  timestamp = {2009.04.11},
  url = {http://arxiv.org/abs/0903.5306}
}

@ARTICLE{Berestycki2004,
  author = {Nathanael Berestycki and Rick Durrett},
  title = {A phase transition in the random transposition random walk},
  year = {2004},
  abstract = {Our work is motivated by Bourque and Pevzner's (2002) simulation study
	of the effectiveness of the parsimony method in studying genome rearrangement,
	and leads to a surprising result about the random transposition walk
	on the group of permutations on $n$ elements. Consider this walk
	in continuous time starting at the identity and let $D_t$ be the
	minimum number of transpositions needed to go back to the identity
	from the location at time $t$. $D_t$ undergoes a phase transition:
	the distance $D_{cn/2} \sim u(c)n$, where $u$ is an explicit function
	satisfying $u(c)=c/2$ for $c \le 1$ and $u(c)1$. In other words,
	the distance to the identity is roughly linear during the subcritical
	phase, and after critical time $n/2$ it becomes sublinear. In addition,
	we describe the fluctuations of $D_{cn/2}$ about its mean in each
	of the threeregimes (subcritical, critical and supercritical). The
	techniques used involve viewing the cycles in the random permutation
	as a coagulation-fragmentation process and relating the behavior
	to the \Erd\H{o}s-Renyi random graph model.},
  comments = {Revisions include considerable changes in the presentation of section
	6 (proof of the CLT in the supercritical regime), and several typos
	corrected. Also, the figures are now available as a separate .ps
	file},
  eprint = {math/0403259},
  oai2identifier = {math/0403259},
  owner = {leo},
  timestamp = {2010.01.12}
}

@ARTICLE{Bergeron2000,
  author = {Nantel Bergeron and Stefan Mykytiuk and Frank Sottile and Stephanie
	van Willigenburg},
  title = {Non-commutative Pieri operators on posets},
  journal = {J. Combin. Th. Ser. A.},
  year = {2000},
  volume = {91},
  pages = {84-110.},
  number = {1/2},
  abstract = {We consider graded representations of the algebra NC of noncommutative
	symmetric functions on the Z-linear span of a graded poset P. The
	matrix coefficients of such a representation give a Hopf morphism
	from a Hopf algebra HP generated by the intervals of P to the Hopf
	algebra of quasi-symmetric functions. This provides a unified construction
	of quasi-symmetric generating functions from different branches of
	algebraic combinatorics, and this construction is useful for transferring
	techniques and ideas between these branches. In particular we show
	that the (Hopf) algebra of Billera and Liu related to Eulerian posets
	is dual to the peak (Hopf) algebra of Stembridge related to enriched
	P-partitions, and connect this to the combinatorics of the Schubert
	calculus for isotropic flag manifolds.},
  comments = {LaTeX 2e, 22 pages Minor corrections, updated references. Complete
	and final version, to appear in issue of J. Combin. Th. Ser. A dedicated
	to G.-C. Rota},
  eprint = {math/0002073},
  file = {:home/leo/References/b/Bergeron2000.pdf:PDF},
  oai2identifier = {math/0002073},
  owner = {leo},
  timestamp = {2009.03.16},
  url = {http://arxiv.org/abs/math/0002073}
}

@ARTICLE{Bergeron1999,
  author = {Nantel Bergeron and Stefan Mykytiuk and Frank Sottile and Stephanie
	van Willigenburg},
  title = {Shifted Quasi-Symmetric Functions and the Hopf algebra of peak functions},
  journal = {Discrete Math.},
  year = {1999},
  volume = {256},
  pages = {57-66.},
  abstract = {In his work on P-partitions, Stembridge defined the algebra of peak
	functions Pi, which is both a subalgebra and a retraction of the
	algebra of quasi-symmetric functions. We show that Pi is closed under
	coproduct, and therefore a Hopf algebra, and describe the kernel
	of the retraction. Billey and Haiman, in their work on Schubert polynomials,
	also defined a new class of quasi-symmetric functions --- shifted
	quasi-symmetric functions --- and we show that Pi is strictly contained
	in the linear span Xi of shifted quasi-symmetric functions. We show
	that Xi is a coalgebra, and compute the rank of the n-th graded component.},
  comments = {9 pages, 4 eps figures, uses epsf.sty. to be presented at FPSAC99
	in Barcelona by second author},
  eprint = {math/9904105},
  file = {:home/leo/References/b/Bergeron1999.pdf:PDF},
  oai2identifier = {math/9904105},
  owner = {leo},
  reportno = {MSRI 1999-022},
  timestamp = {2009.03.16},
  url = {http://arxiv.org/abs/math/9904105}
}

@ARTICLE{Bertoin2007,
  author = {Jean Bertoin},
  title = {Two-parameter Poisson-Dirichlet measures and reversible exchangeable
	fragmentation-coalescence processes},
  year = {2007},
  month = apr,
  abstract = {We show that for $0<\alpha<1$ and $\theta>-\alpha$, the Poisson-Dirichlet
	distribution with parameter $(\alpha, \theta)$ is the unique reversible
	distribution of a rather natural fragmentation-coalescence process.
	This completes earlier results in the literature for certain split
	and merge transformations and the parameter $\alpha =0$.},
  eprint = {0704.3122},
  file = {:home/leo/References/b/Bertoin2007.pdf:PDF},
  oai2identifier = {0704.3122},
  owner = {leo},
  timestamp = {2009.06.13}
}

@ARTICLE{Billingsley1972,
  author = {Billingsley, P.},
  title = {{On the distribution of large prime divisors}},
  journal = {Periodica Mathematica Hungarica},
  year = {1972},
  volume = {2},
  pages = {283--289},
  number = {1},
  publisher = {Akad{\'e}miai Kiad{\'o}, co-published with Springer Science+ Business
	Media BV, Formerly Kluwer Academic Publishers BV}
}

@ARTICLE{Birkner2009,
  author = {Matthias Birkner and Jochen Blath and Martin Moehle and Matthias
	Steinruecken and Johanna Tams},
  title = {A modified lookdown construction for the {X}i-{F}leming-{V}iot process
	with mutation and populations with recurrent bottlenecks},
  journal = {Alea},
  year = {2009},
  volume = {6},
  pages = {25-61},
  file = {:home/leo/References/b/Birkner2009.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.24}
}

@ARTICLE{Blackwell1973,
  author = {Blackwell, D. and MacQueen, J.B.},
  title = {{Ferguson distributions via Polya urn schemes}},
  journal = {The annals of statistics},
  year = {1973},
  volume = {1},
  pages = {353--355},
  number = {2},
  file = {:home/leo/References/b/Blackwell1973.pdf:PDF},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{blei2010nested,
  author = {Blei, D.M. and Griffiths, T.L. and Jordan, M.I.},
  title = {{The Nested Chinese Restaurant Process and Bayesian Nonparametric
	Inference of Topic Hierarchies}},
  journal = {Journal of the ACM (JACM)},
  year = {2010},
  volume = {57},
  pages = {1--30},
  number = {2},
  note = {arXiv:0710.0845 [stat.ML]},
  publisher = {ACM}
}

@ARTICLE{Blei2004,
  author = {Blei, D. and Griffiths, T.L. and Jordan, M.I. and Tenenbaum, J.B.},
  title = {{Hierarchical topic models and the nested Chinese restaurant process}},
  journal = {Advances in neural information processing systems},
  year = {2004},
  volume = {16},
  pages = {106},
  publisher = {Citeseer}
}

@ARTICLE{Blei2009,
  author = {Blei, D. and Lafferty, J.},
  title = {{Topic models}},
  journal = {Text Mining: Theory and Applications. Taylor and Francis, London,
	UK},
  year = {2009}
}

@ARTICLE{Blei2007a,
  author = {Blei, D.M. and Lafferty, J.D.},
  title = {{A correlated topic model of science}},
  journal = {Annals of Applied Statistics},
  year = {2007},
  volume = {1},
  pages = {17--35},
  number = {1}
}

@ARTICLE{Blei2006,
  author = {Blei, D.M. and Lafferty, J.D.},
  title = {{Dynamic topic models}},
  year = {2006},
  pages = {120},
  booktitle = {Proceedings of the 23rd international conference on Machine learning},
  file = {:home/leo/References/b/Blei2006.pdf:PDF},
  organization = {ACM}
}

@ARTICLE{Blei2003,
  author = {Blei, D.M. and Ng, A.Y. and Jordan, M.I.},
  title = {{Latent Dirichlet Allocation}},
  journal = {Journal of Machine Learning Research},
  year = {2003},
  volume = {3},
  pages = {993--1022},
  file = {:home/leo/References/b/Blei2003.pdf:PDF}
}

@ARTICLE{Booth1973,
  author = {Booth, TL and Thompson, RA},
  title = {{Applying probability measures to abstract languages}},
  journal = {IEEE Transactions on Computers},
  year = {1973},
  volume = {100},
  pages = {442--450},
  number = {22}
}

@ARTICLE{Borodin-private,
  author = {Alexei Borodin},
  title = {private communication},
  owner = {leo},
  timestamp = {2009.11.26}
}

@ELECTRONIC{Borodin2010Schur,
  author = {Borodin, A.},
  year = {2010},
  title = {{Schur dynamics of the Schur processes}},
  note = {arXiv:1001.3442 [math.CO]},
  file = {:/home/leo/References/b/Borodin2010SchurDyn.pdf:PDF},
  owner = {leo},
  timestamp = {2010.09.27}
}

@ELECTRONIC{Borodin2009,
  author = {Borodin, A.},
  year = {2009},
  title = {Determinantal point processes},
  note = {arXiv:0911.1153 [math.PR]},
  abstract = {We present a list of algebraic, combinatorial, and analytic mechanisms
	that give rise to determinantal point processes.},
  booktitle = {Oxford Handbook of Random Matrix Theory},
  comments = {This is a contribution to the Oxford Handbook of Random Matrix Theory},
  eprint = {0911.1153},
  file = {:home/leo/References/b/Borodin2009.pdf:PDF},
  oai2identifier = {0911.1153},
  owner = {leo},
  timestamp = {2009.11.25}
}

@ARTICLE{borodin2007periodic,
  author = {Borodin, A.},
  title = {{Periodic Schur process and cylindric partitions}},
  journal = {Duke math. J},
  year = {2007},
  volume = {140},
  pages = {391--468},
  number = {3},
  note = {arXiv:math/0601019 [math.CO]},
  file = {:/home/leo/References/b/Borodin2006Cylindric.pdf:PDF}
}

@ARTICLE{borodin2000riemann,
  author = {Borodin, A.},
  title = {{Riemann-Hilbert problem and the discrete Bessel Kernel}},
  journal = {International Mathematics Research Notices},
  year = {2000},
  volume = {2000},
  pages = {467--494},
  number = {9},
  note = {arXiv:math/9912093 [math.CO]},
  publisher = {Hindawi Publishing Corporation, 410 Park Avenue, 15 th Floor,\# 287
	pmb, New York, NY, 10022, USA,}
}

@ARTICLE{Borodin1997,
  author = {Borodin, A.},
  title = {Multiplicative central measures on the {S}chur graph},
  journal = {Jour. Math. Sci. (New York)},
  year = {1999},
  volume = {96},
  pages = {3472–3477},
  number = {5},
  note = {in Russian: Zap. Nauchn. Sem. POMI {\bf{}240\/} (1997), 44--52, 290--291},
  file = {:home/leo/References/b/Borodin1997-rus.pdf:PDF;:home/leo/References/b/Borodin1997.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.12}
}

@ARTICLE{borodin1999colored,
  author = {Borodin, A.},
  title = {{Longest increasing subsequences of random colored permutations}},
  journal = {Electron. J. Combin},
  year = {1999},
  volume = {6},
  pages = {R13},
  number = {1},
  file = {:/home/leo/References/b/Borodin1999Colored.pdf:PDF}
}

@ARTICLE{Borodin1998a,
  author = {Alexei Borodin},
  title = {{Point Processes and the Infinite Symmetric Group. Part IV: Matrix
	Whittaker kernel}},
  year = {1998},
  abstract = {We study a 2-parametric family of probability measures on the space
	of countable point configurations on the punctured real line (the
	points of the random configuration are concentrated near zero). These
	measures (or, equivalently, point processes) have been introduced
	in Part II (A. Borodin, math.RT/9804087) in connection with the problem
	of harmonic analysis on the infinite symmetric group. The main result
	of the present paper is a determinantal formula for the correlation
	functions. The formula involves a kernel called the matrix Whittaker
	kernel. Each of its two diagonal blocks governs the projection of
	the process on one of the two half-lines; the corresponding kernel
	on the half-line was studied in Part III (A. Borodin and G. Olshanski,
	math/RT/9804088). While the diagonal blocks of the matrix Whitaker
	kernel are symmetric, the whole kernel turns out to be $J$-symmetric,
	i.e., symmetric with respect to a natural indefinite inner product.
	We also discuss a rather surprising connection of our processes with
	the recent work by B. Eynard and M. L. Mehta (cond-mat/9710230) on
	correlations of eigenvalues of coupled random matrices.},
  comments = {AMSTeX, 17 pages},
  eprint = {math/9810013},
  file = {:home/leo/References/b/Borodin1998.pdf:PDF},
  oai2identifier = {math/9810013},
  owner = {leo},
  timestamp = {2009.11.26}
}

@ARTICLE{Borodin1998b,
  author = {Alexei Borodin},
  title = {Biorthogonal ensembles},
  year = {1998},
  abstract = {One object of interest in random matrix theory is a family of point
	ensembles (random point configurations) related to various systems
	of classical orthogonal polynomials. The paper deals with a one--parametric
	deformation of these ensembles, which is defined in terms of the
	biorthogonal polynomials of Jacobi, Laguerre and Hermite type. Our
	main result is a series of explicit expressions for the correlation
	functions in the scaling limit (as the number of points goes to infinity).
	As in the classical case, the correlation functions have determinantal
	form. They are given by certain new kernels which are described in
	terms of the Wright's generalized Bessel function and can be viewed
	as a generalization of the well--known sine and Bessel kernels. In
	contrast to the conventional kernels, the new kernels are non--symmetric.
	However, they possess other, rather surprising, symmetry properties.
	Our approach to finding the limit kernel also differs from the conventional
	one, because of lack of a simple explicit Christoffel--Darboux formula
	for the biorthogonal polynomials.},
  comments = {AMSTeX, 26 pages},
  eprint = {math/9804027},
  file = {:home/leo/References/b/Borodin1998b.pdf:PDF},
  oai2identifier = {math/9804027},
  owner = {leo},
  timestamp = {2009.12.01}
}

@ARTICLE{Ferrari2008,
  author = {Alexei Borodin and Patrik L. Ferrari},
  title = {Anisotropic growth of random surfaces in 2+1 dimensions},
  year = {2008},
  month = apr,
  abstract = {We construct a family of stochastic growth models in 2+1 dimensions,
	that belong to the anisotropic KPZ class. Appropriate projections
	of these models yield 1+1 dimensional growth models in the KPZ class
	and random tiling models. We show that correlation functions associated
	to our models have determinantal structure, and we study large time
	asymptotics for one of the models. The main asymptotic results are:
	(1) The growing surface has a limit shape that consists of facets
	interpolated by a curved piece. (2) The one-point fluctuations of
	the height function in the curved part are asymptotically normal
	with variance of order ln(t) for time t>>1. (3) There is a map of
	the (2+1)-dimensional space-time to the upper half-plane H such that
	on space-like submanifolds the multi-point fluctuations of the height
	function are asymptotically equal to those of the pullback of the
	Gaussian free (massless) field on H.},
  comments = {99 pages, 12 figures; results extended and presentation improved},
  eprint = {0804.3035},
  file = {:home/leo/References/b/BorFerr08-ver.pdf:PDF},
  oai2identifier = {0804.3035},
  owner = {leo},
  timestamp = {2010.05.08}
}

@ARTICLE{borodin-gr2009q,
  author = {Borodin, A. and Gorin, V. and Rains, E.M.},
  title = {{q-Distributions on boxed plane partitions}},
  journal = {Selecta Mathematica, New Series},
  year = {2010},
  volume = {16},
  pages = {731--789},
  number = {4},
  note = {arXiv:0905.0679 [math-ph]}
}

@ARTICLE{borodin_kuan_2010_orthogonal,
  author = {Borodin, A. and Kuan, J.},
  title = {{Random surface growth with a wall and Plancherel measures for $O
	(\infty)$}},
  journal = {Communications on Pure and Applied Mathematics},
  year = {2010},
  volume = {63},
  pages = {831--894},
  number = {7},
  note = {arXiv:0904.2607 [math.RT]},
  file = {:/home/leo/References/b/Borodin-Kuan-Orthogonal.pdf:PDF},
  issn = {1097-0312},
  publisher = {Wiley Online Library}
}

@ARTICLE{Borodin2000b,
  author = {Borodin, A. and Okounkov, A. and Olshanski, G.},
  title = {{Asymptotics of Plancherel measures for symmetric groups}},
  journal = {J. Amer. Math. Soc.},
  year = {2000},
  volume = {13},
  pages = {481--515},
  number = {3},
  note = {arXiv:math/9905032 [math.CO]},
  abstract = {We consider the asymptotics of the Plancherel measures on partitions
	of $n$ as $n$ goes to infinity. We prove that the local structure
	of a Plancherel typical partition (which we identify with a Young
	diagram) in the middle of the limit shape converges to a determinantal
	point process with the discrete sine kernel. On the edges of the
	limit shape, we prove that the joint distribution of suitably scaled
	1st, 2nd, and so on rows of a Plancherel typical diagram converges
	to the corresponding distribution for eigenvalues of random Hermitian
	matrices (given by the Airy kernel). This proves a conjecture due
	to Baik, Deift, and Johansson by methods different from the Riemann-Hilbert
	techniques used in their original papers math.CO/9810105 and math.CO/9901118
	and from the combinatorial approach proposed by Okounkov in math.CO/9903176.
	Our approach is based on an exact determinantal formula for the correlation
	functions of the poissonized Plancherel measures involving a new
	kernel on the 1-dimensional lattice. This kernel is expressed in
	terms of Bessel functions and we obtain it as a degeneration of the
	hypergeometric kernel from the paper math.RT/9904010 by Borodin and
	Olshanski. Our asymptotic analysis relies on the classical asymptotic
	formulas for the Bessel functions and depoissonization techniques.},
  comments = {43 pages, AMS LaTeX, 1 figure, added a section about a commuting difference
	operator and other material},
  eprint = {math/9905032},
  file = {:home/leo/References/b/Borodin2000b.pdf:PDF},
  oai2identifier = {math/9905032},
  owner = {leo},
  timestamp = {2009.11.02}
}

@INCOLLECTION{borodin2006stochastic,
  author = {Borodin, A. and Olshanski, G.},
  title = {{Stochastic dynamics related to Plancherel measure on partitions}},
  booktitle = {Representation Theory, Dynamical Systems, and Asymptotic Combinatorics},
  publisher = {Transl. AMS},
  year = {2006},
  editor = {V. Kaimanovich and A. Lodkin},
  volume = {217},
  series = {2},
  pages = {9--22, arXiv:math-ph/0402064},
  file = {:/home/leo/References/b/Borodin_Olshanski_Plancherel_Dynamics_2006.pdf:PDF},
  journal = {Representation theory, dynamical systems, and asymptotic combinatorics}
}

@ARTICLE{BorodinOlshanski2010GTs,
  author = {Borodin, A. and Olshanski, G.},
  title = {{Markov processes on the path space of the Gelfand-Tsetlin graph
	and on its boundary}},
  year = {2010},
  month = sep,
  note = {arXiv:1009.2029 [math.PR]},
  abstract = {We construct a four-parameter family of Markov processes on infinite
	Gelfand-Tsetlin schemes that preserve the class of central (Gibbs)
	measures. Any process in the family induces a Feller Markov process
	on the infinite-dimensional boundary of the Gelfand-Tsetlin graph
	or, equivalently, the space of extreme characters of the infinite-dimensional
	unitary group U(infinity). The process has a unique invariant distribution
	which arises as the decomposing measure in a natural problem of harmonic
	analysis on U(infinity) posed in arXiv:math/0109193. As was shown
	in arXiv:math/0109194, this measure can also be described as a determinantal
	point process with a correlation kernel expressed through the Gauss
	hypergeometric function.},
  eprint = {1009.2029},
  oai2identifier = {1009.2029},
  owner = {leo},
  timestamp = {2010.10.11}
}

@ARTICLE{Borodin2007,
  author = {Borodin, A. and Olshanski, G.},
  title = {Infinite-dimensional diffusions as limits of random walks on partitions},
  journal = {Prob. Theor. Rel. Fields},
  year = {2009},
  volume = {144},
  pages = {281-318},
  number = {1},
  note = {arXiv:0706.1034 [math.PR]},
  abstract = {The present paper originated from our previous study of the problem
	of harmonic analysis on the infinite symmetric group. This problem
	leads to a family {P_z} of probability measures, the z-measures,
	which depend on the complex parameter z. The z-measures live on the
	Thoma simplex, an infinite-dimensional compact space which is a kind
	of dual object to the infinite symmetric group. The aim of the paper
	is to introduce stochastic dynamics related to the z-measures. Namely,
	we construct a family of diffusion processes in the Toma simplex
	indexed by the same parameter z. Our diffusions are obtained from
	certain Markov chains on partitions of natural numbers n in a scaling
	limit as n goes to infinity. These Markov chains arise in a natural
	way, due to the approximation of the infinite symmetric group by
	the increasing chain of the finite symmetric groups. Each z-measure
	P_z serves as a unique invariant distribution for the corresponding
	diffusion process, and the process is ergodic with respect to P_z.
	Moreover, P_z is a symmetrizing measure, so that the process is reversible.
	We describe the spectrum of its generator and compute the associated
	(pre)Dirichlet form.},
  comments = {AMSTex, 33 pages. Version 2: minor changes, typos corrected, to appear
	in Prob. Theor. Rel. Fields},
  eprint = {0706.1034},
  file = {:home/leo/References/b/Borodin2007.pdf:PDF},
  oai2identifier = {0706.1034},
  owner = {leo},
  reportno = {Preprint Series of SFB 701, University of Bielefeld, #07-035},
  timestamp = {2009.03.11},
  url = {http://arxiv.org/abs/0706.1034}
}

@ARTICLE{borodin2007asymptotics,
  author = {Borodin, A. and Olshanski, G.},
  title = {{Asymptotics of Plancherel-type random partitions}},
  journal = {Journal of Algebra},
  year = {2007},
  volume = {313},
  pages = {40--60},
  number = {1},
  note = {arXiv:math/0610240},
  file = {:/home/leo/References/b/BorodinOlsh2006Planch_type.pdf:PDF},
  publisher = {Elsevier}
}

@ARTICLE{Borodin2006,
  author = {Borodin, A. and Olshanski, G.},
  title = {Markov processes on partitions},
  journal = {Probab. Theory Related Fields},
  year = {2006},
  volume = {135},
  pages = {84--152},
  number = {1},
  note = {arXiv:math-ph/0409075},
  abstract = {We introduce and study a family of Markov processes on partitions.
	The processes preserve the so-called z-measures on partitions previously
	studied in connection with harmonic analysis on the infinite symmetric
	group. We show that the dynamical correlation functions of these
	processes have determinantal structure and we explicitly compute
	their correlation kernels. We also compute the scaling limits of
	the kernels in two different regimes. The limit kernels describe
	the asymptotic behavior of large rows and columns of the corresponding
	random Young diagrams, and the behavior of the Young diagrams near
	the diagonal. Our results show that recently discovered analogy between
	random partitions arising in representation theory and spectra of
	random matrices extends to the associated time-dependent models.},
  comments = {AMSTeX, 73 pages},
  eprint = {math-ph/0409075},
  file = {:home/leo/References/b/Borodin2006.pdf:PDF},
  oai2identifier = {math-ph/0409075},
  owner = {leo},
  timestamp = {2009.10.08}
}

@ARTICLE{borodin2006meixner,
  author = {Borodin, A. and Olshanski, G.},
  title = {{Meixner polynomials and random partitions}},
  journal = {Moscow Mathematical Journal},
  year = {2006},
  volume = {6},
  pages = {629--655},
  number = {4},
  note = {arXiv:math/0609806 [math.PR]},
  file = {:/home/leo/References/b/borodin2006meixner.pdf:PDF},
  publisher = {Независимый Московский университет-МЦНМО}
}

@ARTICLE{Borodin2005,
  author = {Alexei Borodin and Grigori Olshanski},
  title = {{Random partitions and the Gamma kernel}},
  journal = {Adv. Math.},
  year = {2005},
  volume = {194},
  pages = {141--202},
  number = {1},
  abstract = {We study the asymptotics of certain measures on partitions (the so-called
	z-measures and their relatives) in two different regimes: near the
	diagonal of the corresponding Young diagram and in the intermediate
	zone between the diagonal and the edge of the Young diagram. We prove
	that in both cases the limit correlation functions have determinantal
	form with a correlation kernel which depends on two real parameters.
	In the first case the correlation kernel is discrete, and it has
	a simple expression in terms of the gamma functions. In the second
	case the correlation kernel is continuous and translationally invariant,
	and it can be a written as a ratio of two suitably scaled hyperbolic
	sines.},
  comments = {AMSTeX, 49 pages},
  eprint = {math-ph/0305043},
  file = {:home/leo/References/b/Borodin2005.pdf:PDF},
  oai2identifier = {math-ph/0305043},
  owner = {leo},
  timestamp = {2009.10.21}
}

@ARTICLE{Borodin2005a,
  author = {Alexei Borodin and Grigori Olshanski},
  title = {Harmonic analysis on the infinite-dimensional unitary group and determinantal
	point processes},
  journal = {Ann. of Math.},
  year = {2005},
  volume = {161},
  pages = {1319--1422},
  number = {3},
  abstract = {The infinite-dimensional unitary group U(infinity) is the inductive
	limit of growing compact unitary groups U(N). In this paper we solve
	a problem of harmonic analysis on U(infinity) stated in the previous
	paper math/0109193. The problem consists in computing spectral decomposition
	for a remarkable 4-parameter family of characters of U(infinity).
	These characters generate representations which should be viewed
	as analogs of nonexisting regular representation of U(infinity).
	The spectral decomposition of a character of U(infinity) is described
	by the spectral measure which lives on an infinite-dimensional space
	Omega of indecomposable characters. The key idea which allows us
	to solve the problem is to embed Omega into the space of point configurations
	on the real line without 2 points. This turns the spectral measure
	into a stochastic point process on the real line. The main result
	of the paper is a complete description of the processes corresponding
	to our concrete family of characters. We prove that each of the processes
	is a determinantal point process. That is, its correlation functions
	have determinantal form with a certain kernel. Our kernels have a
	special `integrable' form and are expressed through the Gauss hypergeometric
	function. In simpler situations of harmonic analysis on infinite
	symmetric group and harmonic analysis of unitarily invariant measures
	on infinite hermitian matrices similar results were obtained in our
	papers math/9810015, math/9904010, math-ph/0010015.},
  comments = {AMSTeX, 88 pages},
  eprint = {math/0109194},
  file = {:/home/leo/References/o/Borodin-Olshanski-2001-Harmonic-U.pdf:PDF},
  oai2identifier = {math/0109194},
  owner = {leo},
  timestamp = {2010.07.15}
}

@ARTICLE{Borodin2005b,
  author = {Borodin, A. and Olshanski, G.},
  title = {Z-measures on partitions and their scaling limits},
  journal = {European J. Combin.},
  year = {2005},
  volume = {26},
  pages = {795--834},
  number = {6},
  abstract = {We study certain probability measures on partitions of n=1,2,...,
	originated in representation theory, and demonstrate their connections
	with random matrix theory and multivariate hypergeometric functions.
	Our measures depend on three parameters including an analog of the
	beta parameter in random matrix models. Under an appropriate limit
	transition as n goes to infinity, our measures converge to certain
	limit measures, which are of the same nature as one-dimensional log-gas
	with arbitrary beta>0. The first main result says that averages of
	products of ``characteristic polynomials'' with respect to the limit
	measures are given by the multivariate hypergeometric functions of
	type (2,0). The second main result is a computation of the limit
	correlation functions for the even values of beta.},
  comments = {AMSTeX, 37 pages},
  eprint = {math-ph/0210048},
  file = {:/home/leo/References/b/BO-z_meas_and_limits.pdf:PDF},
  oai2identifier = {math-ph/0210048},
  owner = {leo},
  timestamp = {2010.08.10}
}

@ARTICLE{Borodin2000,
  author = {Alexei Borodin and Grigori Olshanski},
  title = {Harmonic functions on multiplicative graphs and interpolation polynomials},
  journal = {Electronic Journal of Combinatorics},
  year = {2000},
  volume = {7},
  pages = {paper R28},
  abstract = {We construct examples of nonnegative harmonic functions on certain
	graded graphs: the Young lattice and its generalizations. Such functions
	first emerged in harmonic analysis on the infinite symmetric group.
	Our method relies on multivariate interpolation polynomials associated
	with Schur's S and P functions and with Jack symmetric functions.
	As a by-product, we compute certain Selberg-type integrals.},
  comments = {AMSTeX, 35 pages},
  eprint = {math/9912124},
  file = {:home/leo/References/b/Borodin2000.pdf:PDF},
  oai2identifier = {math/9912124},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/abs/math/9912124}
}

@ARTICLE{Borodin2000a,
  author = {Borodin, A. and Olshanski, G.},
  title = {Distributions on partitions, point processes, and the hypergeometric
	kernel},
  journal = {Commun. Math. Phys.},
  year = {2000},
  volume = {211},
  pages = {335-358},
  number = {2},
  note = {arXiv:math/9904010 [math.RT]},
  abstract = {We study a 3-parametric family of stochastic point processes on the
	one-dimensional lattice originated from a remarkable family of representations
	of the infinite symmetric group. We prove that the correlation functions
	of the processes are given by determinantal formulas with a certain
	kernel. The kernel can be expressed through the Gauss hypergeometric
	function; we call it the hypergeometric kernel. In a scaling limit
	our processes approximate the processes describing the decomposition
	of representations mentioned above into irreducibles. As we showed
	before, see math.RT/9810015, the correlation functions of these limit
	processes also have determinantal form with so-called Whittaker kernel.
	We show that the scaling limit of the hypergeometric kernel is the
	Whittaker kernel. The integral operator corresponding to the Whittaker
	kernel is an integrable operator as defined by Its, Izergin, Korepin,
	and Slavnov. We argue that the hypergeometric kernel can be considered
	as a kernel defining a `discrete integrable operator'. We also show
	that the hypergeometric kernel degenerates for certain values of
	parameters to the Christoffel-Darboux kernel for Meixner orthogonal
	polynomials. This fact is parallel to the degeneration of the Whittaker
	kernel to the Christoffel-Darboux kernel for Laguerre polynomials.},
  comments = {AMSTeX, 24 pages},
  eprint = {math/9904010},
  file = {:home/leo/References/b/Borodin2000a.pdf:PDF},
  oai2identifier = {math/9904010},
  owner = {leo},
  timestamp = {2009.10.20}
}

@ARTICLE{Borodin1998,
  author = {Alexei Borodin and Grigori Olshanski},
  title = {Point processes and the infinite symmetric group},
  journal = {Math. Res. Lett.},
  year = {1998},
  volume = {5},
  pages = {799-816},
  abstract = {We give a summary of the results from Parts I-V (math.RT/9804086,
	math.RT/9804087, math.RT/9804088, math.RT/9810013, math.RT/9810014).
	Our work originated from harmonic analysis on the infinite symmetric
	group. The problem of spectral decomposition for certain representations
	of this group leads to a family of probability measures on an infinite-dimensional
	simplex, which is a kind of dual object for the infinite symmetric
	group. To understand the nature of these measures we interpret them
	as stochastic point processes on the punctured real line and compute
	their correlation functions. The correlation functions are given
	by multidimensional integrals which can be expressed in terms of
	a multivariate hypergeometric series (the Lauricella function of
	type B). It turns out that after a slight modification (`lifting')
	of the processes the correlation functions take a common in Random
	Matrix Theory (RMT) determinantal form with a certain kernel. The
	kernel is expressed through the classical Whittaker functions. It
	depends on two parameters and admits a variety of degenerations.
	They include the well-known in RMT sine and Bessel kernels as well
	as some other Bessel-type kernels which, to our best knowledge, are
	new. The explicit knowledge of the correlation functions enables
	us to derive a number of conclusions about the initial probability
	measures. We also study the structure of our kernel; this finally
	leads to a constructive description of the initial measures. We believe
	that this work provides a new promising connection between RMT and
	Representation Theory.},
  comments = {AMSTeX, 14 pages},
  eprint = {math/9810015},
  oai2identifier = {math/9810015},
  owner = {leo},
  timestamp = {2009.03.27}
}

@ARTICLE{borodin2006giambelli,
  author = {Borodin, A. and Olshanski, G. and Strahov, E.},
  title = {{Giambelli compatible point processes}},
  journal = {Advances in Applied Mathematics},
  year = {2006},
  volume = {37},
  pages = {209--248},
  number = {2},
  note = {arXiv:math-ph/0505021},
  file = {:/home/leo/References/b/Borodin_Olsh_Strahov_Giambelli_2006.pdf:PDF},
  publisher = {Elsevier}
}

@ARTICLE{borodin2005eynard,
  author = {Borodin, A. and Rains, E.M.},
  title = {{Eynard--Mehta theorem, Schur process, and their Pfaffian analogs}},
  journal = {Journal of Statistical Physics},
  year = {2005},
  volume = {121},
  pages = {291--317},
  number = {3},
  note = {arXiv:math-ph/0409059},
  publisher = {Springer}
}

@ARTICLE{Borodin2004a,
  author = {Alexei Borodin and Eric M. Rains},
  title = {{Eynard-Mehta theorem, Schur process, and their Pfaffian analogs}},
  year = {2004},
  abstract = {We give simple linear algebraic proofs of Eynard-Mehta theorem, Okounkov-Reshetikhin
	formula for the correlation kernel of the Schur process, and Pfaffian
	analogs of these results. We also discuss certain general properties
	of the spaces of all determinantal and Pfaffian processes on a given
	finite set.},
  comments = {AMSTeX, 21 pages, a new section added},
  eprint = {math-ph/0409059},
  file = {:home/leo/References/b/Borodin2004a.pdf:PDF},
  oai2identifier = {math-ph/0409059},
  owner = {leo},
  timestamp = {2009.12.01}
}

@ARTICLE{borodin2010gibbs,
  author = {Borodin, A. and Shlosman, S.},
  title = {{Gibbs ensembles of nonintersecting paths}},
  journal = {Communications in Mathematical Physics},
  year = {2010},
  volume = {293},
  pages = {145--170},
  number = {1},
  note = {arXiv:0804.0564 [math-ph]},
  file = {:/home/leo/References/b/Borodin_Shlosman2008.pdf:PDF},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{borodin2009correlation,
  author = {Borodin, A. and Strahov, E.},
  title = {{Correlation kernels for discrete symplectic and orthogonal ensembles}},
  journal = {Communications in Mathematical Physics},
  year = {2009},
  volume = {286},
  pages = {933--977},
  number = {3},
  note = {arXiv:0712.1693 [math-ph]},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{borodin2006averages,
  author = {Borodin, A. and Strahov, E.},
  title = {{Averages of characteristic polynomials in random matrix theory}},
  journal = {Communications on Pure and Applied Mathematics},
  year = {2006},
  volume = {59},
  pages = {161--253},
  number = {2},
  note = {arXiv:math-ph/0407065},
  file = {:/home/leo/References/b/Borodin-Strahov-2004-charact_averages.pdf:PDF},
  issn = {0010-3640},
  publisher = {Wiley Online Library}
}

@ARTICLE{Brezin2010,
  author = {E. Brezin and S. Hikami},
  title = {Duality and replicas for a unitary matrix model},
  year = {2010},
  month = may,
  abstract = {In a generalized Airy matrix model, a power $p$ replaces the cubic
	term of the Airy model introduced by Kontsevich. The parameter $p$
	corresponds to Witten's spin index in the theory of intersection
	numbers of moduli space of curves. A continuation in $p$ down to
	$p= -2$ yields a well studied unitary matrix model, which exhibits
	two different phases in the weak and strong coupling regions, with
	a third order critical point in-between. The application of duality
	and replica to the $p$-th Airy model allows one to recover both the
	weak and strong phases of the unitary model, and to establish some
	new results for these expansions. Therefore the unitary model is
	also indirectly a generating function for intersection numbers.},
  comments = {18 page},
  eprint = {1005.4730},
  file = {:/home/leo/References/b/Brezin2010.pdf:PDF},
  oai2identifier = {1005.4730},
  owner = {leo},
  timestamp = {2010.05.30}
}

@ARTICLE{brundan2002projective,
  author = {Brundan, J. and Kleshchev, A.},
  title = {{Projective representations of symmetric groups via Sergeev duality}},
  journal = {Mathematische Zeitschrift},
  year = {2002},
  volume = {239},
  pages = {27--68},
  number = {1},
  file = {:home/leo/References/b/Brundan-2002-SergeevDuality.pdf:PDF},
  publisher = {Springer}
}

@BOOK{Bulinski2007,
  title = {{L}imit {T}heorems for {A}ssociated {R}andom {F}ields and {R}elated
	{S}ystems},
  publisher = {World Scientific, Singapore},
  year = {2007},
  editor = {Ole E. Barndorff-Nielsen},
  author = {Alexander Bulinski and Alexey Shashkin},
  file = {:home/leo/References/b/Bulinski2007.pdf:PDF},
  owner = {leo},
  timestamp = {2009.06.20}
}

@CONFERENCE{Burdzy-BM,
  author = {Krzysztof Burdzy},
  title = {Brownian Motion. A tutorial},
  year = {2006},
  file = {:home/leo/References/b/Burdzy-BM.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.15}
}

@ARTICLE{Butler2006,
  author = {Lynne Butler and Pat Flanigan},
  title = {Log-convexity of q-{C}atalan numbers},
  year = {2006},
  file = {:home/leo/References/b/Butler2006.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.11}
}

@ARTICLE{Carlitz1964,
  author = {L. Carlitz and J. Riordan},
  title = {Two element lattice permutation numbers and their q-generalization},
  journal = {Duke J. Math.},
  year = {1964},
  volume = {31},
  pages = {371-388},
  file = {:home/leo/References/c/Carlitz1964.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.11}
}

@PHDTHESIS{Carlton1999,
  author = {Carlton, M.A.},
  title = {{Applications of the two-parameter Poisson-Dirichlet distribution}},
  school = {UNIVERSITY OF CALIFORNIA Los Angeles},
  year = {1999},
  file = {:home/leo/References/c/Carlton1999.pdf:PDF}
}

@ARTICLE{Caron2006,
  author = {Caron, F. and Davy, M. and Doucet, A. and Duflos, E. and Vanheeghe,
	P.},
  title = {{Bayesian inference for dynamic models with Dirichlet process mixtures}},
  file = {:home/leo/References/c/Caron2006.pdf:PDF},
  organization = {Citeseer}
}

@ARTICLE{Chi1999,
  author = {Chi, Z.},
  title = {{Statistical properties of probabilistic context-free grammars}},
  journal = {Computational Linguistics},
  year = {1999},
  volume = {25},
  pages = {131--160},
  number = {1},
  file = {:home/leo/References/c/Chi1999.pdf:PDF}
}

@ARTICLE{Cigler2005,
  author = {Johann Cigler},
  title = {q-{C}atalan numbers and q-{N}arayana polynomials},
  year = {2005},
  abstract = {In this note we show that various natural q-analogues of the Catalan
	numbers can be obtained in a uniform way. Furthermore we compute
	their Hankel determinants.},
  comments = {10 pages},
  eprint = {math/0507225},
  file = {:home/leo/References/c/Cigler2005.pdf:PDF},
  oai2identifier = {math/0507225},
  owner = {leo},
  timestamp = {2009.05.11}
}

@ARTICLE{Clarkson2005,
  author = {Kenneth L. Clarkson},
  title = {{N}earest-{N}eighbor {S}earching and {M}etric {S}pace {D}imensions},
  year = {2005},
  file = {:home/leo/References/c/Clarkson2005.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.03}
}

@ARTICLE{vuletic2009plane,
  author = {Corteel, S. and Savelief, C. and Vuleti{\'c}, M.},
  title = {{Plane overpartitions and cylindric partitions}},
  journal = {Imprint},
  year = {2009},
  file = {:/home/leo/References/v/Vuletic2009over.pdf:PDF}
}

@ARTICLE{Csaki2008,
  author = {Endre Csáki and Antónia Földes and Pál Révész},
  title = {Transient nearest neighbor random walk and Bessel process},
  year = {2008},
  month = feb,
  abstract = {We prove strong invariance principle between a transient Bessel process
	and a certain nearest neighbor (NN) random walk that is constructed
	from the former by using stopping times. It is also shown that their
	local times are close enough to share the same strong limit theorems.
	It is shown furthermore, that if the difference between the distributions
	of two NN random walks are small, then the walks themselves can be
	constructed so that they are close enough. Finally, some consequences
	concerning strong limit theorems are discussed.},
  eprint = {0802.0778},
  file = {:home/leo/References/c/Csaki2008.pdf:PDF},
  oai2identifier = {0802.0778},
  owner = {leo},
  timestamp = {2009.04.03},
  url = {http://arxiv.org/abs/0802.0778}
}

@ARTICLE{date1982transformation,
  author = {Date, E. and Jimbo, M. and Kashiwara, M. and Miwa, T.},
  title = {{Transformation groups for soliton equations. IV. A new hierarchy
	of soliton equations of KP-type}},
  journal = {Physica D},
  year = {1982},
  volume = {4},
  pages = {343--365},
  file = {:home/leo/References/d/DJKM.djvu:Djvu}
}

@BOOK{Dawson1991,
  title = {Measure-valued {M}arkov {P}rocesses. {Ecole D'Ete de Probabilites
	de Saint-Flour XXI}},
  publisher = {Springer-Verlag New York, LLC},
  year = {1991},
  editor = {P.-L. Hennequin},
  author = {Donald A. Dawson},
  file = {:home/leo/References/d/Dawson1991.pdf:PDF},
  owner = {leo},
  timestamp = {2009.07.19}
}

@ARTICLE{Dawson2009,
  author = {Donald A. Dawson},
  title = {{PIMS-UBC Summer School 2009 Lecture Notes}},
  year = {2009},
  owner = {leo},
  timestamp = {2009.08.04}
}

@ARTICLE{Deerwester1990,
  author = {Deerwester, S. and Dumais, S.T. and Furnas, G.W. and Landauer, T.K.
	and Harshman, R.},
  title = {{Indexing by latent semantic analysis}},
  journal = {Journal of the American society for information science},
  year = {1990},
  volume = {41},
  pages = {391--407},
  number = {6},
  publisher = {Citeseer}
}

@INCOLLECTION{deift1999integrable,
  author = {Deift, P.},
  title = {{Integrable operators}},
  booktitle = {Differential operators and spectral theory: M. Sh. Birman's 70th
	Anniversay Collection},
  publisher = {Transl. AMS},
  year = {1999},
  pages = {69},
  journal = {Differential operators and spectral theoryM. Sh. Birman's 70th Anniversay
	Collection}
}

@ARTICLE{Delong2010,
  author = {Łukasz Delong and Peter Imkeller},
  title = {On Malliavin's differentiability of BSDE with time delayed generators
	driven by Brownian motions and Poisson random measures},
  year = {2010},
  month = may,
  abstract = {We investigate solutions of backward stochastic differential equations
	(BSDE) with time delayed generators driven by Brownian motions and
	Poisson random measures, that constitute the two components of a
	Levy process. In this new type of equations, the generator can depend
	on the past values of a solution, by feeding them back into the dynamics
	with a time lag. For such time delayed BSDE, we prove existence and
	uniqueness of solutions provided we restrict on a sufficiently small
	time horizon or the generator possesses a sufficiently small Lipschitz
	constant. We study differentiability in the variational or Malliavin
	sense and derive equations that are satisfied by the Malliavin gradient
	processes. On the chosen stochastic basis this addresses smoothness
	both with respect to the continuous part of our Levy process in terms
	of the classical Malliavin derivative for Hilbert space valued random
	variables, as well as with respect to the pure jump component for
	which it takes the form of an increment quotient operator related
	to the Picard difference operator.},
  eprint = {1005.4702},
  file = {:/home/leo/References/d/Delong2010Mallavin.pdf:PDF},
  oai2identifier = {1005.4702},
  owner = {leo},
  timestamp = {2010.05.30}
}

@ARTICLE{Delong2010a,
  author = {Łukasz Delong and Peter Imkeller},
  title = {Backward stochastic differential equations with time delayed generators
	- results and counterexamples},
  year = {2010},
  month = may,
  abstract = {We deal with backward stochastic differential equations with time
	delayed generators. In this new type of equations, a generator at
	time t can depend on the values of a solution in the past, weighted
	with a time delay function for instance of the moving average type.
	We prove existence and uniqueness of a solution for a sufficiently
	small time horizon or for a sufficiently small Lipschitz constant
	of a generator. We give examples of BSDE with time delayed generators
	that have multiple solutions or that have no solutions. We show for
	some special class of generators that existence and uniqueness may
	still hold for an arbitrary time horizon and for arbitrary Lipschitz
	constant. This class includes linear time delayed generators, which
	we study in more detail. We are concerned with different properties
	of a solution of a BSDE with time delayed generator, including the
	inheritance of boundedness from the terminal condition, the comparison
	principle, the existence of a measure solution and the BMO martingale
	property. We give examples in which they may fail.},
  eprint = {1005.4701},
  file = {:/home/leo/References/d/Delong2010BSDE.pdf:PDF},
  oai2identifier = {1005.4701},
  owner = {leo},
  timestamp = {2010.05.30}
}

@ARTICLE{Delvaux2008,
  author = {Steven Delvaux and Arno B. J. Kuijlaars},
  title = {A phase transition for non-intersecting Brownian motions, and the
	Painleve II equation},
  year = {2008},
  note = {arXiv:0809.1000 [math.CV]},
  abstract = {We consider n non-intersecting Brownian motions with two fixed starting
	positions and two fixed ending positions in the large n limit. We
	show that in case of 'large separation' between the endpoints, the
	particles are asymptotically distributed in two separate groups,
	with no interaction between them, as one would intuitively expect.
	We give a rigorous proof using the Riemann-Hilbert formalism. In
	the case of 'critical separation' between the endpoints we are led
	to a model Riemann-Hilbert problem associated to the Hastings-McLeod
	solution of the Painleve II equation. We show that the Painleve II
	equation also appears in the large n asymptotics of the recurrence
	coefficients of the multiple Hermite polynomials that are associated
	with the Riemann-Hilbert problem.},
  comments = {75 pages, 13 figures},
  eprint = {0809.1000},
  file = {:/home/leo/References/d/Delvaux_Brownian_Phase_Trans2008.pdf:PDF},
  oai2identifier = {0809.1000},
  owner = {leo},
  timestamp = {2010.10.01}
}

@BOOK{Dey1998,
  title = {{Practical nonparametric and semiparametric Bayesian statistics}},
  publisher = {Springer New York},
  year = {1998},
  author = {Dey, D. and Mueller, P. and Sinha, D.}
}

@ARTICLE{Dickman1930,
  author = {Dickman, K.},
  title = {{On the frequency of numbers containing prime factors of a certain
	relative magnitude}},
  journal = {Ark. Mat. Astr. Fys},
  year = {1930},
  volume = {22},
  pages = {1-14}
}

@ARTICLE{Donnelly1999,
  author = {Donnelly, P. and Kurtz, T.G.},
  title = {{Genealogical processes for Fleming-Viot models with selection and
	recombination}},
  journal = {Annals of Applied Probability},
  year = {1999},
  volume = {9},
  pages = {1091--1148},
  number = {4},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{Donnelly1999a,
  author = {Donnelly, P. and Kurtz, T.G.},
  title = {{Particle representations for measure-valued population models}},
  journal = {The Annals of Probability},
  year = {1999},
  volume = {27},
  pages = {166--205},
  number = {1},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{Donnelly1996,
  author = {Donnelly, P. and Kurtz, T.G.},
  title = {{A countable representation of the Fleming-Viot measure-valued diffusion}},
  journal = {The Annals of Probability},
  year = {1996},
  volume = {24},
  pages = {698--742},
  number = {2},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{dyson1970correlations,
  author = {Dyson, F.J.},
  title = {{Correlations between eigenvalues of a random matrix}},
  journal = {Communications in Mathematical Physics},
  year = {1970},
  volume = {19},
  pages = {235--250},
  number = {3},
  file = {:/home/leo/References/d/Dyson1970correlations.pdf:PDF},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{dyson1962brownian,
  author = {Dyson, F.J.},
  title = {{A Brownian-motion model for the eigenvalues of a random matrix}},
  journal = {Journal of Mathematical Physics},
  year = {1962},
  volume = {3},
  pages = {1191--1198},
  number = {6}
}

@ARTICLE{Dyson1972,
  author = {Freeman J. Dyson},
  title = {A Class of Matrix Ensembles},
  journal = {J. Math. Phys.},
  year = {1972},
  volume = {13},
  owner = {leo},
  timestamp = {2009.12.05}
}

@BOOK{engen1978stochastic,
  title = {{Stochastic abundance models: with emphasis on biological communities
	and species diversity}},
  publisher = {Chapman \& Hall},
  year = {1978},
  author = {Engen, S.}
}

@ARTICLE{Erdos2010,
  author = {Laszlo Erdos},
  title = {Universality of Wigner random matrices: a Survey of Recent Results},
  year = {2010},
  month = apr,
  abstract = {We study the universality of spectral statistics of large random matrices.
	We consider $N\times N$ symmetric, hermitian or quaternion self-dual
	random matrices with independent, identically distributed entries
	(Wigner matrices) where the probability distribution for each matrix
	element is given by a measure $\nu$ with a subexponential decay.
	Our main result is that the correlation functions of the local eigenvalue
	statistics in the bulk of the spectrum coincide with those of the
	Gaussian Orthogonal Ensemble (GOE), the Gaussian Unitary Ensemble
	(GUE) and the Gaussian Symplectic Ensemble (GSE), respectively, in
	the limit $N\to \infty$. Our approach is based on the study of the
	Dyson Brownian motion via a related new dynamics, the local relaxation
	flow. As a main input, we establish that the density of eigenvalues
	converges to the Wigner semicircle law and this holds even down to
	the smallest possible scale, and, moreover, we show that eigenvectors
	are fully delocalized. These results hold even without the condition
	that the matrix elements are identically distributed, only independence
	is used. In fact, we give strong estimates on the matrix elements
	of the Green function as well that imply that the local statistics
	of any two ensembles in the bulk are identical if the first four
	moments of the matrix elements match. Universality at the spectral
	edges requires matching only two moments. We also prove a Wegner
	type estimate and that the eigenvalues repel each other on arbitrarily
	small scales.},
  comments = {111 pages},
  eprint = {1004.0861},
  file = {:/home/leo/References/e/Erdos2010RandomMatrices.pdf:PDF},
  oai2identifier = {1004.0861},
  owner = {leo},
  timestamp = {2010.11.01}
}

@ARTICLE{Escobar1995,
  author = {Escobar, M.D. and West, M.},
  title = {{Bayesian Density Estimation and Inference Using Mixtures.}},
  journal = {Journal of the american statistical association},
  year = {1995},
  volume = {90},
  number = {430},
  publisher = {American Statistical Association}
}

@ARTICLE{Etheridge2009,
  author = {A.M. Etheridge and R.C. Griffiths},
  title = {A coalescent dual process in a {M}oran model with genic selection},
  journal = {Theoretical Population Biology},
  year = {2009},
  volume = {75},
  pages = {320-330},
  file = {:home/leo/References/e/Etheridge2009.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.19}
}

@ARTICLE{etheridge1991note,
  author = {Etheridge, A. and March, P.},
  title = {{A note on superprocesses}},
  journal = {Probability Theory and Related Fields},
  year = {1991},
  volume = {89},
  pages = {141--147},
  number = {2},
  file = {:/home/leo/References/e/Etheridge1991.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{Ethier1993b,
  author = {Ethier, SN and Griffiths, RC},
  title = {{The transition function of a Fleming-Viot process}},
  journal = {The Annals of Probability},
  year = {1993},
  volume = {21},
  pages = {1571--1590},
  number = {3},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{ethier1998coupling,
  author = {Ethier, SN and Kurtz, T.G.},
  title = {{Coupling and ergodic theorems for Fleming-Viot processes}},
  journal = {The Annals of Probability},
  year = {1998},
  volume = {26},
  pages = {533--561},
  number = {2},
  file = {:e/EthierKurtz1998_Coupling_and_Ergodic.pdf:PDF},
  issn = {0091-1798},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{Ethier1981,
  author = {Ethier, S.N. and Kurtz, T.G.},
  title = {The {I}nfinitely-{M}any-{N}eutral-{A}lleles {D}iffusion {M}odel},
  journal = {Advances in Applied Probability},
  year = {1981},
  volume = {13},
  pages = {429-452},
  number = {3},
  file = {:home/leo/References/e/Ethier1981.pdf:PDF},
  owner = {leo},
  timestamp = {2009.07.09}
}

@ARTICLE{Ethier1992,
  author = {S. N. Ethier},
  title = {Eigenstructure of the {I}nfinitely-{M}any-{N}eutral-{A}lleles {D}iffusion
	{M}odel},
  journal = {J. Appl. Prob.},
  year = {1992},
  volume = {29},
  pages = {487-498},
  number = {3},
  file = {:home/leo/References/e/Ethier1992.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.05}
}

@ARTICLE{Ethier1990,
  author = {Stewart N. Ethier},
  title = {The {I}nfinitely-{M}any-{N}eutral-{A}lleles {D}iffusion {M}odel with
	{A}ges},
  journal = {Advances in Applied Probability},
  year = {1990},
  volume = {22},
  pages = {1-24},
  number = {1},
  file = {:home/leo/References/e/Ethier1990.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.30}
}

@ARTICLE{Ethier1993a,
  author = {Stewart N. Ethier and Thomas G. Kurtz},
  title = {Convergence to {F}leming-{V}iot processes in the weak atomic topology},
  journal = {Stochastic Processes and their Applications},
  year = {1994},
  volume = {54},
  pages = {1-27},
  number = {1},
  file = {:home/leo/References/e/Ethier1993a.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.18}
}

@ARTICLE{Ethier1993,
  author = {Stewart N. Ethier and Thomas G. Kurtz},
  title = {{F}LEMING-{V}IOT {P}ROCESSES IN {P}OPULATION {G}ENETICS},
  journal = {SIAM J. Control and Optimization},
  year = {1993},
  volume = {31},
  pages = {345-386},
  number = {2},
  file = {:home/leo/References/e/Ethier1993FV-survey.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.05}
}

@ARTICLE{Ethier1987,
  author = {Stewart N. Ethier and Thomas G. Kurtz},
  title = {The infinitely-many-alleles model with selection as a measure-valued
	diffusion},
  journal = {Lecture Notes in Biomathematics},
  year = {1987},
  volume = {70},
  pages = {72-86},
  owner = {leo},
  timestamp = {2009.09.20}
}

@BOOK{Ethier1986,
  title = {Markov processes: {C}haracterization and convergence},
  publisher = {Wiley-Interscience, New York},
  year = {1986},
  author = {Stewart N. Ethier and Thomas G. Kurtz},
  file = {:home/leo/References/e/Ethier1986.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{Ewens1972,
  author = {Warren Ewens},
  title = {The sampling theory of selectively neutral alleles},
  journal = {Theoretical Population Biology},
  year = {1972},
  volume = {3},
  pages = {87-112},
  owner = {leo},
  timestamp = {2010.01.12}
}

@BOOK{Ewens1979,
  title = {{M}athematical {P}opulation {G}enetics},
  publisher = {Springer-Verlag, Berlin},
  year = {1979},
  author = {W. J. Ewens},
  owner = {leo},
  timestamp = {2009.03.27}
}

@ARTICLE{eynard1998matrices,
  author = {Eynard, B. and Mehta, M.L.},
  title = {{Matrices coupled in a chain: I. Eigenvalue correlations}},
  journal = {Journal of Physics A: Mathematical and General},
  year = {1998},
  volume = {31},
  pages = {4449},
  publisher = {IOP Publishing}
}

@ARTICLE{Favaro2007,
  author = {Favaro, S. and Ruggiero, M. and Span{\c{n}}, D. and Walker, S.G.},
  title = {{The Neutral Population Model and Bayesian Nonparametrics}},
  journal = {ICER Working Papers-Applied Mathematics Series},
  year = {2007},
  file = {:home/leo/References/f/Favaro2007.pdf:PDF},
  publisher = {ICER-International Centre for Economic Research}
}

@BOOK{Feng2010book,
  title = {{The Poisson-Dirichlet distributions and related topics: Models and
	asymptotic behaviours}},
  publisher = {Springer},
  year = {2010},
  author = {Feng, S.},
  owner = {leo},
  timestamp = {2010.11.03}
}

@ARTICLE{Feng2009a,
  author = {Shui Feng and Fuqing Gao},
  title = {Asymptotic {R}esults for the {T}wo-parameter {P}oisson-{D}irichlet
	{D}istribution},
  year = {2009},
  month = jun,
  abstract = {The two-parameter Poisson-Dirichlet distribution is the law of a sequence
	of decreasing nonnegative random variables with total sum one. It
	can be constructed from stable and Gamma subordinators with the two-parameters,
	$\alpha$ and $\theta$, corresponding to the stable component and
	Gamma component respectively. The moderate deviation principles are
	established for the two-parameter Poisson-Dirichlet distribution
	and the corresponding homozygosity when $\theta$ approaches infinity,
	and the large deviation principle is established for the two-parameter
	Poisson-Dirichlet distribution when both $\alpha$ and $\theta$ approach
	zero.},
  eprint = {0906.2217},
  file = {:home/leo/References/f/Feng2009a.pdf:PDF},
  oai2identifier = {0906.2217},
  owner = {leo},
  timestamp = {2009.08.05}
}

@ARTICLE{Feng2009,
  author = {Shui Feng and Wei Sun},
  title = {Some {D}iffusion {P}rocesses {A}ssociated With {T}wo {P}arameter
	{P}oisson-{D}irichlet {D}istribution and {D}irichlet {P}rocess},
  journal = {Probability Theory and Related Fields},
  year = {2009},
  month = mar,
  abstract = {The two parameter Poisson-Dirichlet distribution $PD(\alpha,\theta)$
	is the distribution of an infinite dimensional random discrete probability.
	It is a generalization of Kingman's Poisson-Dirichlet distribution.
	The two parameter Dirichlet process $\Pi_{\alpha,\theta,\nu_0}$ is
	the law of a pure atomic random measure with masses following the
	two parameter Poisson-Dirichlet distribution. In this article we
	focus on the construction and the properties of the infinite dimensional
	symmetric diffusion processes with respective symmetric measures
	$PD(\alpha,\theta)$ and $\Pi_{\alpha,\theta,\nu_0}$. The methods
	used come from the theory of Dirichlet forms.},
  comments = {24 pages},
  eprint = {0903.0623},
  file = {:home/leo/References/f/Feng2009.pdf:PDF},
  oai2identifier = {0903.0623},
  owner = {leo},
  timestamp = {2009.06.13}
}

@ARTICLE{feng2010functional,
  author = {Feng, S. and Sun, W. and Wang, F.Y. and Xu, F.},
  title = {{Functional inequalities for the two-parameter extension of the infinitely-many-neutral-alleles
	diffusion}},
  journal = {Journal of Functional Analysis},
  year = {2010},
  file = {:f/FengSunWangSu-JFA-2011.pdf:PDF},
  issn = {0022-1236},
  publisher = {Elsevier}
}

@ARTICLE{Feng2007,
  author = {Shui Feng and Feng-Yu Wang},
  title = {A Class of Infinite Dimensional Diffusion Processes with Connection
	to Population Genetics},
  year = {2007},
  month = nov,
  abstract = {Starting from a sequence of independent Wright-Fisher diffusion processes
	on $[0,1]$, we construct a class of reversible infinite dimensional
	diffusion processes on $\DD_\infty:= \{{\bf x}\in [0,1]^\N: \sum_{i\ge
	1} x_i=1\}$ with GEM distribution as the reversible measure. Log-Sobolev
	inequalities are established for these diffusions, which lead to
	the exponential convergence to the corresponding reversible measures
	in the entropy. Extensions are made to a class of measure-valued
	processes over an abstract space $S$. This provides a reasonable
	alternative to the Fleming-Viot process which does not satisfy the
	log-Sobolev inequality when $S$ is infinite as observed by W. Stannat
	\cite{S}.},
  comments = {14 pages},
  eprint = {0711.1887},
  file = {:home/leo/References/f/Feng2007.pdf:PDF},
  oai2identifier = {0711.1887},
  owner = {leo},
  timestamp = {2009.06.14}
}

@ARTICLE{Ferguson1973,
  author = {Thomas S. Ferguson},
  title = {A Bayesian Analysis of Some Nonparametric Problems},
  journal = {The Annals of Statistics},
  year = {1973},
  volume = {1},
  pages = {209-230},
  number = {2},
  file = {:home/leo/References/f/Ferguson1973.pdf:PDF},
  owner = {leo},
  timestamp = {2010.01.12}
}

@ARTICLE{ferrari2004polynuclear,
  author = {Ferrari, P.L.},
  title = {{Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues}},
  journal = {Communications in Mathematical Physics},
  year = {2004},
  volume = {252},
  pages = {77--109},
  number = {1},
  note = {arXiv:math-ph/0402053},
  publisher = {Springer}
}

@ARTICLE{ferrari2003step,
  author = {Ferrari, P.L. and Spohn, H.},
  title = {{Step fluctuations for a faceted crystal}},
  journal = {Journal of Statistical Physics},
  year = {2003},
  volume = {113},
  pages = {1--46},
  number = {1},
  note = {arXiv:cond-mat/0212456 [cond-mat.stat-mech]},
  file = {:/home/leo/References/f/FerrariSpohn2003.pdf:PDF},
  issn = {0022-4715},
  publisher = {Springer}
}

@ARTICLE{Finkel2007,
  author = {Finkel, J.R. and Grenager, T. and Manning, C.D.},
  title = {{The infinite tree}},
  year = {2007},
  volume = {45},
  pages = {272},
  number = {1},
  booktitle = {ANNUAL MEETING-ASSOCIATION FOR COMPUTATIONAL LINGUISTICS}
}

@ARTICLE{pitman1998additive,
  author = {Fitzsimmons, PJ and Pitman, J.},
  title = {{Kac's moment formula and the Feynman-Kac formula for additive functionals
	of a Markov process}},
  journal = {Stochastic processes and their applications},
  year = {1999},
  volume = {79},
  pages = {117--134},
  number = {1},
  file = {:/home/leo/References/p/Pitman1998additive.pdf:PDF},
  publisher = {Citeseer}
}

@ARTICLE{Fleming1979,
  author = {W. H. Fleming and M. Viot},
  title = {Some measure-valued markov processes in population genetics theory},
  journal = {Indiana Univ. Math. J.},
  year = {1979},
  volume = {28},
  pages = {817-843},
  owner = {leo},
  timestamp = {2009.09.20}
}

@ARTICLE{foda2009hall,
  author = {Foda, O. and Wheeler, M.},
  title = {{Hall-Littlewood Plane Partitions and KP}},
  journal = {International Mathematics Research Notices},
  year = {2009},
  volume = {2009},
  pages = {2597},
  number = {14},
  note = {arXiv:0809.2138 [math-ph]},
  file = {:f/Foda_Wheeler2008.pdf:PDF},
  issn = {1073-7928}
}

@ARTICLE{fomin1995schensted,
  author = {Fomin, S.},
  title = {{Schensted algorithms for dual graded graphs}},
  journal = {Journal of Algebraic Combinatorics},
  year = {1995},
  volume = {4},
  pages = {5--45},
  number = {1},
  file = {:/home/leo/References/f/Fomin1995schensted.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{fomin1995schur,
  author = {FOMIN, S.},
  title = {{Schur Operators and Knuth Correspondences}},
  journal = {Journal of combinatorial theory. Series A},
  year = {1995},
  volume = {72},
  pages = {277--292},
  number = {2},
  file = {:/home/leo/References/f/Fomin1995schur.pdf:PDF},
  publisher = {Academic Press}
}

@ARTICLE{fomin1994duality,
  author = {Fomin, S.},
  title = {{Duality of graded graphs}},
  journal = {Journal of Algebraic Combinatorics},
  year = {1994},
  volume = {3},
  pages = {357--404},
  number = {4},
  file = {:/home/leo/References/f/Fomin1994duality.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{fomin1997rim,
  author = {Fomin, S.V. and Stanton, D.W.},
  title = {{Rim hook lattices}},
  journal = {St. Petersburg Mathematical Journal},
  year = {1998},
  volume = {9},
  pages = {1007--1016},
  number = {5},
  file = {:/home/leo/References/f/FominStantonRimHook1998.pdf:PDF}
}

@ARTICLE{fomin1997number,
  author = {Fomin, S. V. and Lulov, N.},
  title = {{On the number of rim hook tableaux}},
  journal = {Journal of Mathematical Sciences},
  year = {1997},
  volume = {87},
  pages = {4118--4123},
  number = {6},
  file = {:/home/leo/References/f/Fomin1995RimHook.pdf:PDF},
  publisher = {Springer}
}

@BOOK{Forrester-LogGas,
  title = {{Log-gases and random matrices}},
  publisher = {Princeton University Press},
  year = {2010},
  author = {Peter J. Forrester},
  owner = {leo},
  timestamp = {2010.08.13}
}

@ARTICLE{Fortuin1971,
  author = {Fortuin, C.M. and Kasteleyn, P.W. and Ginibre, J.},
  title = {Correlation inequalities on some partially ordered sets},
  journal = {Commun. Math. Phys. },
  year = {1971},
  volume = {22},
  pages = {89-103},
  classmath = {{*06D05 (Structure and representation theory of distributive lattices)
	62P99 (Appl. of statistics) 62H20 (Statistical measures of associations)
	}},
  doi = {10.1007/BF01651330},
  language = {English}
}

@ARTICLE{Foucart2010,
  author = {Clément Foucart},
  title = {Distinguished exchangeable coalescents and generalized Fleming-Viot
	processes with immigration},
  year = {2010},
  month = jun,
  abstract = {Coalescents with multiple collisions (also called Lambda-coalescents
	or simple exchangeable coalescents) are used as models of genealogies.
	We study a new class of Markovian coalescent processes connected
	to a population model with immigration. Imagine an infinite population
	with immigration labelled at each generation by N:={1,2,...}. Some
	ancestral lineages cannot be followed backwards after some time because
	their ancestor is outside the population. The individuals with an
	immigrant ancestor constitute a distinguished family and we define
	exchangeable distinguished coalescent processes as a model for genealogy
	with immigration, focussing on simple distinguished coalescents,
	i.e such that when a coagulation occurs all the blocks involved merge
	as a single block. These processes are characterized by two finite
	measures on [0,1] denoted by M=(\Lambda_{0},\Lambda_{1}). We call
	them M-coalescents. We show by martingale arguments that the condition
	of coming down from infinity for the M-coalescent coincides with
	that obtained by Schweinsberg for the \Lambda-coalescent. In the
	same vein as Bertoin and Le Gall, M-coalescents are associated with
	some stochastic flows. The superprocess embedded can be viewed as
	a generalized Fleming-Viot process with immigration. The measures
	\Lambda_{0} and \Lambda_{1} specify respectively the reproduction
	and the immigration. The coming down from infinity of the M-coalescent
	will be interpreted as the initial types extinction: after a certain
	time, all individuals are immigrant children.},
  comments = {30 pages},
  eprint = {1006.0581},
  file = {:/home/leo/References/f/Foucart2010-FlemingViot.pdf:PDF},
  oai2identifier = {1006.0581},
  owner = {leo},
  timestamp = {2010.06.05}
}

@BOOK{fukushima1980dirichlet,
  title = {{Dirichlet Forms and Markov Processes}},
  publisher = {Elsevier Science \& Technology},
  year = {1980},
  author = {Fukushima, M.},
  file = {:/home/leo/References/f/Fukushima1980.djvu:Djvu}
}

@CONFERENCE{fukushima1989skew,
  author = {Fukushima, M. and Oshima, Y.},
  title = {{On the skew product of symmetric diffusion processes}},
  booktitle = {Forum Mathematicum},
  year = {1989},
  volume = {1},
  number = {1},
  pages = {103--142},
  organization = {Walter de Gruyter, Berlin/New York Berlin, New York},
  file = {:/home/leo/References/f/Fukushima[Skew product].pdf:PDF}
}

@ARTICLE{Fulman2007,
  author = {Fulman, J.},
  title = {Commutation relations and {M}arkov chains},
  journal = {Prob. Theory Rel. Fields},
  year = {2009},
  volume = {144},
  pages = {99-136},
  number = {1},
  month = dec,
  note = {arXiv:0712.1375 [math.PR]},
  abstract = {It is shown that the combinatorics of commutation relations is well
	suited for analyzing the convergence rate of certain Markov chains.
	Examples studied include random walk on irreducible representations,
	a local random walk on partitions whose stationary distribution is
	the Ewens distribution, and some birth-death chains.},
  comments = {37 pages; referee suggestions implemented, discuss up-down chains
	as well, slightly better bounds in Props. 5.6, 7.6},
  eprint = {0712.1375},
  file = {:home/leo/References/f/Fulman2007.pdf:PDF},
  oai2identifier = {0712.1375},
  owner = {leo},
  timestamp = {2009.03.25},
  url = {http://arxiv.org/abs/0712.1375}
}

@ARTICLE{Fulman2005,
  author = {Fulman, J.},
  title = {Stein’s method and {P}lancherel measure of the symmetric group},
  journal = {Trans. Amer. Math. Soc.},
  year = {2005},
  volume = {357},
  pages = {555-570},
  number = {2},
  note = {arXiv:math/0305423 [math.RT]},
  file = {:home/leo/References/f/Fulman2005.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.25},
  url = {http://www.ams.org/tran/2005-357-02/S0002-9947-04-03499-3/home.html}
}

@ARTICLE{Fulman2001,
  author = {Jason Fulman},
  title = {${GL(n,q)}$ and Increasing Subsequences in Nonuniform Random Permutations},
  year = {2001},
  abstract = {Connections between longest increasing subsequences in random permutations
	and eigenvalues of random matrices with complex entries have been
	intensely studied. This note applies properties of random elements
	of the finite general linear group to obtain results about the longest
	increasing subsequence in non- uniform random permutations.},
  comments = {Results for longest decreasing subsequence are added},
  eprint = {math/0109079},
  file = {:home/leo/References/f/Fulman2001.pdf:PDF},
  oai2identifier = {math/0109079},
  owner = {leo},
  timestamp = {2009.04.15},
  url = {http://arxiv.org/abs/math/0109079}
}

@ELECTRONIC{fulman1997probabilistic,
  author = {Fulman, J.},
  year = {1997},
  title = {{Probabilistic measures and algorithms arising from the Macdonald
	symmetric functions}},
  note = {arXiv:math/9712237 [math.CO]},
  file = {:/home/leo/References/f/Fulman_Macdonald_Measures_1997.pdf:PDF}
}

@BOOK{fulton1997young,
  title = {{Young tableaux}},
  publisher = {Cambridge University Press},
  year = {1997},
  author = {Fulton, W.},
  isbn = {0521567246}
}

@ARTICLE{Furlinger1985,
  author = {J. Furlinger and J. Hofbauer},
  title = {q-{C}atalan {N}umbers},
  journal = {Journal of combinatorial theory},
  year = {1985},
  volume = {40},
  pages = {248-264},
  number = {2},
  file = {:home/leo/References/f/Furlinger1985.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.11}
}

@ARTICLE{Garsia1972,
  author = {Adriano Garsia},
  title = {Continuity properties of {G}aussian processes with multidimensional
	time parameter},
  year = {1972},
  pages = {369-374},
  address = {Berkeley, Calif.},
  booktitle = {Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics
	and Probability (Univ. California, Berkeley, Calif., 1970/1971),
	Vol. II: Probability theory},
  file = {:home/leo/References/g/Garcia1972.pdf:PDF},
  mrclass = {60G15},
  mrnumber = {53 \#14623},
  mrreviewer = {P. Laurie Davies},
  publisher = {Univ. California Press}
}

@ARTICLE{Ghahramani2005,
  author = {Ghahramani, Z.},
  title = {{Non-parametric bayesian methods}},
  year = {2005},
  booktitle = {Tutorial presentation at the UAI Conference},
  file = {:home/leo/References/g/Ghahramani2005.pdf:PDF},
  organization = {Citeseer}
}

@BOOK{Ghosh2003,
  title = {{Bayesian Nonparametrics}},
  publisher = {Springer-Verlag},
  year = {2003},
  author = {Ghosh, J.K. and Ramamoorthi, R.V.},
  file = {:home/leo/References/g/Ghosh2003.pdf:PDF;:home/leo/References/g/Ghosh2003.djvu:Djvu},
  owner = {leo},
  timestamp = {2010.01.12}
}

@BOOK{gikhman2004theoryII,
  title = {{The theory of stochastic processes II}},
  publisher = {Springer Verlag},
  year = {2004},
  author = {Gikhman, I.I. and Skorokhod, A.V. and Kotz, S.}
}

@ARTICLE{Gnedin2009a,
  author = {Gnedin, A.},
  title = {A Species Sampling Model with Finitely many Types},
  journal = {Electronic Communications in Probability},
  year = {2010},
  volume = {15},
  pages = {79--88},
  month = oct,
  note = {arXiv:0910.1988 [math.PR]},
  abstract = {A one-parameter family of exchangeable partitions with a simple updating
	rule is introduced. The partition is identified with a randomized
	version of a standard symmetric species-sampling model with finitely
	many types.},
  eprint = {0910.1988},
  file = {:home/leo/References/g/Gnedin2009a.pdf:PDF},
  oai2identifier = {0910.1988},
  owner = {leo},
  timestamp = {2009.10.14}
}

@UNPUBLISHED{Gnedin-ex-part,
  author = {Alexander Gnedin},
  title = {Exchangeable partitions and symmetric functions},
  note = {Unpublished paper},
  month = {June},
  year = {2005},
  file = {:home/leo/References/g/Gnedin-ex-part.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.11}
}

@ARTICLE{gnedin2004three,
  author = {Gnedin, A.},
  title = {{Three sampling formulas}},
  journal = {Combinatorics, Probability and Computing},
  year = {2004},
  volume = {13},
  pages = {185--193},
  number = {02},
  note = {arXiv:math/0210319 [math.PR]},
  publisher = {Cambridge Univ Press}
}

@ARTICLE{Gnedin1997,
  author = {Alexander Gnedin},
  title = {The representation of composition structures},
  journal = {Ann. Probab.},
  year = {1997},
  volume = {25},
  pages = {1437--1450},
  number = {3},
  author_html_mr = {Gnedin, Alexander V.},
  author_id_mr = {152746},
  author_zm = {Gnedin, Alexander V.},
  coden = {APBYAE},
  description = {Ruelle Cascades Bib},
  file = {:home/leo/References/g/Gnedin1997.pdf:PDF},
  fjournal = {The Annals of Probability},
  howpublished_zm = {Ann. Probab. 25, No.3, 1437-1450 (1997)},
  id_00 = {42},
  id_mr = {98g:60019},
  id_zm = {0895.60037},
  issn = {0091-1798},
  msc_mr = {60C05 (60G09)},
  msc_zm = {60G09;60C05;60J50},
  owner = {leo},
  tex_00 = {\item The representation of composition structures, {\it Ann. Prob.}
	(1997) {\bf 25} 1437-1450. },
  tex_mr = {A. V. Gnedin, The representation of composition structures, Ann. Probab.
	{\bf 25} (1997), no.~3, 1437--1450. },
  timestamp = {2009.03.11},
  title_zm = {The representation of composition structures}
}

@ARTICLE{Gnedin2009,
  author = {Alexander Gnedin and Grigori Olshanski},
  title = {A q-analogue of de {F}inetti's theorem},
  year = {2009},
  month = may,
  abstract = {A q-analogue of de Finetti's theorem is obtained in terms of a boundary
	problem for the q-Pascal graph. For q a power of prime this leads
	to a characterisation of random spaces over the Galois field F_q
	that are invariant under the natural action of the infinite group
	of invertible matrices with coefficients from F_q.},
  comments = {LaTeX, 15 pages},
  eprint = {0905.0367},
  file = {:home/leo/References/g/Gnedin2009.pdf:PDF},
  oai2identifier = {0905.0367},
  owner = {leo},
  timestamp = {2009.05.08},
  url = {http://arxiv.org/abs/0905.0367}
}

@ARTICLE{GnedinIntern.Math.ResearchNotices2006Art.ID5196839pp.,
  author = {Alexander Gnedin and Grigori Olshanski},
  title = {Coherent permutations with descent statistic and the boundary problem
	for the graph of zigzag diagrams},
  journal = {Intern. Math. Research Notices},
  year = {2006},
  pages = {Art. ID 51968, 39pp.},
  note = {arXiv:math/0508131v2 [math.CO]},
  abstract = {The graph of zigzag diagrams is a close relative of Young's lattice.
	The boundary problem for this graph amounts to describing coherent
	random permutations with descent-set statistic, and is also related
	to certain positive characters on the algebra of quasi-symmetric
	functions. We establish connections to some further relatives of
	Young's lattice and solve the boundary problem by reducing it to
	the classification of spreadable total orders on integers, as recently
	obtained by Jacka and Warren.},
  comments = {Version 2: more detailed exposition, 4 references added, page format
	changed, 44 pp.; accepted in IMRN},
  eprint = {math/0508131},
  file = {:home/leo/References/g/GnedinIntern.Math.ResearchNotices2006Art.ID5196839pp.pdf:PDF},
  oai2identifier = {math/0508131},
  owner = {leo},
  timestamp = {2009.03.11},
  url = {http://arxiv.org/abs/math/0508131}
}

@ARTICLE{Gnedin2005,
  author = {Alexander Gnedin and Jim Pitman},
  title = {Regenerative Composition Structures},
  journal = {Ann. Probab.},
  year = {2005},
  volume = {33},
  pages = {445-479},
  number = {2},
  abstract = {A new class of random composition structures (the ordered analog of
	Kingman's partition structures) is defined by a regenerative description
	of component sizes. Each regenerative composition structure is represented
	by a process of random sampling of points from an exponential distribution
	on the positive halfline, and separating the points into clusters
	by an independent regenerative random set. Examples are composition
	structures derived from residual allocation models, including one
	associated with the Ewens sampling formula, and composition structures
	derived from the zero set of a Brownian motion or Bessel process.
	We provide characterisation results and formulas relating the distribution
	of the regenerative composition to the L{\'e}vy parameters of a subordinator
	whose range is the corresponding regenerative set. In particular,
	the only reversible regenerative composition structures are those
	associated with the interval partition of $[0,1]$ generated by excursions
	of a standard Bessel bridge of dimension $2 - 2 \alpha$ for some
	$\alpha \in [0,1]$.},
  eprint = {math/0307307},
  file = {:home/leo/References/g/Gnedin2005.pdf:PDF},
  oai2identifier = {math/0307307},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/abs/math/0307307}
}

@ARTICLE{Gnedin2005a,
  author = {Alexander Gnedin and Jim Pitman},
  title = {Regenerative partition structures},
  journal = {Electronic Journal of Combinatorics},
  year = {2005},
  volume = {11 (2)},
  pages = {R12},
  abstract = {We consider Kingman's partition structures which are regenerative
	with respect to a general operation of random deletion of some part.
	Prototypes of this class are the Ewens partition structures which
	Kingman characterised by regeneration after deletion of a part chosen
	by size-biased sampling. We associate each regenerative partition
	structure with a corresponding regenerative composition structure,
	which (as we showed in a previous paper) can be associated in turn
	with a regenerative random subset of the positive halfline, that
	is the closed range of a subordinator. A general regenerative partition
	structure is thus represented in terms of the Laplace exponent of
	an associated subordinator. We also analyse deletion properties characteristic
	of the two-parameter family of partition structures.},
  eprint = {math/0408071},
  file = {:home/leo/References/g/Gnedin2005a.pdf:PDF},
  oai2identifier = {math/0408071},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/abs/math/0408071}
}

@PHDTHESIS{Goldwater2007,
  author = {Goldwater, S.J.},
  title = {{Nonparametric Bayesian models of lexical acquisition}},
  school = {Citeseer},
  year = {2007},
  file = {:home/leo/References/g/Goldwater2007.pdf:PDF}
}

@ARTICLE{Goldwater2006,
  author = {Goldwater, S. and Griffiths, T. and Johnson, M.},
  title = {{Interpolating between types and tokens by estimating power-law generators}},
  journal = {Advances in Neural Information Processing Systems},
  year = {2006},
  volume = {18},
  pages = {459},
  file = {:home/leo/References/g/Goldwater2006.pdf:PDF},
  publisher = {Citeseer}
}

@ARTICLE{Goncharov1944,
  author = {Goncharov, VL},
  title = {{Some facts from combinatorics}},
  journal = {Izvestia Akad. Nauk. SSSR, Ser. Mat},
  year = {1944},
  volume = {8},
  pages = {3--48}
}

@ARTICLE{KerovGoodman1997,
  author = {Frederick M. Goodman and Sergei V. Kerov},
  title = {The Martin Boundary of the Young-Fibonacci Lattice},
  year = {1997},
  abstract = {We find the Martin boundary for the Young-Fibonacci lattice YF. Along
	with the lattice of Young diagrams, this is the most interesting
	example of a differential poset. The Martin boundary construction
	provides an explicit Poisson-type integral representation of non-negative
	harmonic functions on YF. The latter are in a canonical correspondence
	with a set of traces on Okada locally semisimple algebra. The set
	is known to contain all the indecomposable traces. Presumably, all
	of the traces in the set are indecomposable, though we have no proof
	of this conjecture. Using a new explicit product formula for Okada
	characters, we derive precise regularity conditions under which a
	sequence of characters of finite-dimensional Okada algebras converges
	to a character of the infinite-dimensional one.},
  comments = {30 pages, AmSTeX, uses EPSF, one EPS figure},
  eprint = {math/9712266},
  file = {:/home/leo/References/k/Kerov_Goodman_YF-1997.pdf:PDF},
  oai2identifier = {math/9712266},
  owner = {leo},
  timestamp = {2010.07.15}
}

@ARTICLE{Gorin2008Jacobi,
  author = {Gorin, V.},
  title = {{Noncolliding Jacobi processes as limits of Markov chains on the
	Gelfand--Tsetlin graph}},
  journal = {Journal of Mathematical Sciences},
  year = {2009},
  volume = {158},
  pages = {819--837},
  number = {6},
  note = {in Russian: Зап. Науч. Сем. ПОМИ, \textbf{360} (2008), 91--123, arXiv:0812.3146
	[math.PR]},
  publisher = {Springer}
}

@ARTICLE{Gorin2008Jacobi_eng,
  author = {Gorin, V.},
  title = {{Noncolliding Jacobi processes as limits of Markov chains on the
	Gelfand--Tsetlin graph}},
  journal = {Journal of Mathematical Sciences},
  year = {2009},
  volume = {158},
  pages = {819--837},
  number = {6},
  note = {arXiv:0812.3146 [math.PR]},
  owner = {leo},
  publisher = {Springer},
  timestamp = {2010.10.29}
}

@ARTICLE{Gorsky2010,
  author = {E. Gorsky},
  title = {q,t-Catalan numbers and knot homology},
  year = {2010},
  month = mar,
  abstract = {We propose an algebraic model of the conjectural triply graded homology
	of Gukov, Dunfield and Rasmussen for some torus knots. It turns out
	to be related to the q,t-Catalan numbers of Garsia and Haiman.},
  comments = {The main combinatorial statement is weakened to the case n<5},
  eprint = {1003.0916},
  file = {:/home/leo/References/g/Gorsky2010Catalan.pdf:PDF},
  oai2identifier = {1003.0916},
  owner = {leo},
  timestamp = {2010.06.05}
}

@CONFERENCE{grabiner1999brownian,
  author = {Grabiner, D.J.},
  title = {{Brownian motion in a Weyl chamber, non-colliding particles, and
	random matrices* 1}},
  booktitle = {Annales de l'Institut Henri Poincare (B) Probability and Statistics},
  year = {1999},
  volume = {35},
  number = {2},
  pages = {177--204},
  organization = {Elsevier},
  file = {:/home/leo/References/g/Grabiner-DysonBM1999.pdf:PDF}
}

@ARTICLE{Grenander1976,
  author = {Grenander, U.},
  title = {{Lectures in pattern theory-Volume 1: Pattern synthesis}},
  year = {1976}
}

@ARTICLE{Haiman2004,
  author = {Mark Haiman and Alexander Woo},
  title = {Geometry of q and q, t-{A}nalogs in {C}ombinatorial {E}numeration},
  year = {2004},
  file = {:home/leo/References/h/Haiman2004.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.11}
}

@CONFERENCE{hammersley1972few,
  author = {Hammersley, JM},
  title = {{A few seedlings of research}},
  booktitle = {Proc. Sixth Berkeley Symp. Math. Statist. and Probability},
  year = {1972},
  volume = {1},
  pages = {345--394},
  file = {:/home/leo/References/h/Hammersley_Seedlings_1972.pdf:PDF}
}

@ARTICLE{Handa2007,
  author = {Handa, K.},
  title = {{The two-parameter Poisson-Dirichlet point process}},
  journal = {Bernoulli},
  year = {2009},
  volume = {15},
  pages = {1082-1116},
  month = may,
  abstract = {The two-parameter Poisson-Dirichlet distribution is a probability
	distribution on the totality of positive decreasing sequences with
	sum 1 and hence considered to govern masses of a random discrete
	distribution. A characterization of the associated point process
	(i.e., the random point process obtained by regarding the masses
	as points in the positive real line) is given in terms of the correlation
	functions. Relying on this, we apply the theory of point processes
	to reveal mathematical structure of the two-parameter Poisson-Dirichlet
	distribution. Also, developing the Laplace transform approach due
	to Pitman and Yor, we will be able to extend several results previously
	known for the one-parameter case, and the Markov-Krein identity for
	the generalized Dirichlet process is discussed from a point of view
	of functional analysis based on the two-parameter Poisson-Dirichlet
	distribution.},
  comments = {52 pages, LaTeX; the former Theorem 6.1 (ii) removed, a unified labeling
	for results, added references},
  eprint = {0705.3496},
  file = {:home/leo/References/h/Handa2007.pdf:PDF},
  oai2identifier = {0705.3496},
  owner = {leo},
  timestamp = {2009.08.12}
}

@BOOK{Hardy1956,
  title = {An {I}ntroduction to the {T}heory of {N}umbers},
  publisher = {Oxford Univ. Press},
  year = {1956},
  author = {G. H. Hardy and E. M. Wright},
  file = {:home/leo/References/h/Hardy1956,djvu:Djvu},
  owner = {leo},
  timestamp = {2009.07.26}
}

@ARTICLE{hawkes1973measure,
  author = {Hawkes, J.},
  title = {{The measure of the range of a subordinator}},
  journal = {Bull. London Math. Soc},
  year = {1973},
  volume = {5},
  pages = {21--28}
}

@ARTICLE{Hazewinkel2004,
  author = {Michiel Hazewinkel},
  title = {Explicit polynomial generators for the ring of quasi-symmetric functions
	over the integers},
  year = {2004},
  abstract = {In [5, 6] it has been proved that the ring of quasisymmetric functions
	over the integers is free polynomial, see also [4]. This is a matter
	that has been of great interest since 1972; for instance because
	of the role this statement plays in a classification theory for noncommutative
	formal groups that has been in development since then, see [2] and
	[9] and the references in the latter. Meanwhile quasisymmetric functions
	have found many more aplications, [3]. However, the proofs in [5,
	6] do not give explicit polynomial generators for QSymm over the
	integers. In this note I give a (really quite simple) set of polynomial
	generators for QSymm over the integers.},
  comments = {7 pages. Submitted to CR Acad. Sci. Paris},
  eprint = {math/0410366},
  file = {:home/leo/References/h/Hazewinkel2004.pdf:PDF},
  oai2identifier = {math/0410366},
  owner = {leo},
  timestamp = {2009.03.16},
  url = {http://arxiv.org/abs/math/0410366}
}

@BOOK{Hoffman1992,
  title = {Projective representations of the symmetric groups},
  publisher = {Oxford Univ. Press},
  year = {1992},
  author = {Hoffman, P.N. and Humphreys, J.F.},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{Hofmann1999,
  author = {Hofmann, T.},
  title = {{Probabilistic latent semantic indexing}},
  year = {1999},
  pages = {50--57},
  booktitle = {Proceedings of the 22nd annual international ACM SIGIR conference
	on Research and development in information retrieval},
  organization = {ACM New York, NY, USA}
}

@ARTICLE{Hollander2006,
  author = {Frank den Hollander and Jeffrey E. Steif},
  title = {Random walk in random scenery: A survey of some recent results},
  journal = {IMS Lecture Notes--Monograph Series},
  year = {2006},
  volume = {48},
  pages = {53-65},
  abstract = {. In this paper we give a survey of some recent results for random
	walk in random scenery (RWRS). On $\mathbb {Z}^d$, $d\geq 1$, we
	are given a random walk with i.i.d. increments and a random scenery
	with i.i.d. components. The walk and the scenery are assumed to be
	independent. RWRS is the random process where time is indexed by
	$\mathbb {Z}$, and at each unit of time both the step taken by the
	walk and the scenery value at the site that is visited are registered.
	We collect various results that classify the ergodic behavior of
	RWRS in terms of the characteristics of the underlying random walk
	(and discuss extensions to stationary walk increments and stationary
	scenery components as well). We describe a number of results for
	scenery reconstruction and close by listing some open questions.},
  comments = {Published at http://dx.doi.org/10.1214/074921706000000077 in the IMS
	Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm)
	by the Institute of Mathematical Statistics (http://www.imstat.org)},
  eprint = {math/0608219},
  file = {:home/leo/References/h/Hollander2006.pdf:PDF},
  oai2identifier = {math/0608219},
  owner = {leo},
  reportno = {IMS-LNMS48-LNMS4806},
  timestamp = {2009.04.03},
  url = {http://arxiv.org/abs/math/0608219}
}

@ARTICLE{holst2001poisson,
  author = {Holst, L.},
  title = {{The Poisson--Dirichlet distribution and its relatives revisited}},
  file = {:home/leo/References/h/Holst2001.pdf:PDF},
  publisher = {Citeseer}
}

@ARTICLE{horowitz1968hausdorff,
  author = {Horowitz, J.},
  title = {{The Hausdorff dimension of the sample path of a subordinator}},
  journal = {Israel Journal of Mathematics},
  year = {1968},
  volume = {6},
  pages = {176--182},
  number = {2},
  publisher = {Springer}
}

@ARTICLE{Houdre2006,
  author = {Christian Houdre and Trevis J. Litherland},
  title = {{On the Longest Increasing Subsequence for Finite and Countable Alphabets}},
  year = {2006},
  file = {:home/leo/References/h/Houdre2006.pdf:PDF},
  owner = {leo},
  timestamp = {2010.01.09}
}

@ARTICLE{peres2006determinantal,
  author = {Hough, J.B. and Krishnapur, M. and Peres, Y. and Vir{\'a}g, B.},
  title = {{Determinantal processes and independence}},
  journal = {Probability Surveys},
  year = {2006},
  volume = {3},
  pages = {206--229},
  note = {arXiv:math/0503110 [math.PR]},
  file = {:home/leo/References/p/Peres2006DetermSurvey.pdf:PDF}
}

@ARTICLE{Ignatov1982,
  author = {Ignatov, T.},
  title = {{Constant arising in the asymptotic theory of symmetric groups, and
	on Poisson-Dirichlet measures.}},
  journal = {THEORY PROB. \& APPLIC.},
  year = {1982},
  volume = {27},
  pages = {136--147},
  number = {1}
}

@ARTICLE{Ishwaran2003,
  author = {Ishwaran, H. and James, L.F.},
  title = {{Generalized weighted Chinese restaurant processes for species sampling
	mixture models}},
  journal = {Statistica Sinica},
  year = {2003},
  volume = {13},
  pages = {1211--1236},
  number = {4},
  publisher = {Citeseer}
}

@ARTICLE{Ishwaran2003a,
  author = {Ishwaran, H. and Zarepour, M.},
  title = {{Random probability measures via Polya sequences: revisiting the
	Blackwell-MacQueen urn scheme}},
  journal = {Arxiv preprint math/0309041},
  year = {2003},
  file = {:home/leo/References/i/Ishwaran2003a.pdf:PDF}
}

@ARTICLE{its1990differential,
  author = {Its, A.R. and Izergin, A.G. and Korepin, V.E. and Slavnov, N.A.},
  title = {{Differential equations for quantum correlation functions}},
  journal = {Int. J. Mod. Phys. B},
  year = {1990},
  volume = {4},
  pages = {1003--1037},
  number = {5}
}

@INCOLLECTION{ivanov2006plancherel,
  author = {Ivanov, V.},
  title = {{Plancherel measure on shifted Young diagrams}},
  booktitle = {Representation theory, dynamical systems, and asymptotic combinatorics},
  publisher = {Transl. AMS},
  year = {2006},
  volume = {217},
  series = {2},
  pages = {73-86},
  journal = {Representation theory, dynamical systems, and asymptotic combinatorics}
}

@ARTICLE{ivanov2004gaussian,
  author = {Ivanov, VN},
  title = {{Gaussian limit for projective characters of large symmetric groups}},
  journal = {Journal of Mathematical Sciences},
  year = {2004},
  volume = {121},
  pages = {2330--2344},
  number = {3},
  file = {:/home/leo/References/i/Ivanov2001Gaussian.pdf:PDF},
  issn = {1072-3374},
  publisher = {Springer}
}

@ARTICLE{IvanovNewYork3517-3530,
  author = {Ivanov, V.},
  title = {The {D}imension of {S}kew {S}hifted {Y}oung {D}iagrams, and {P}rojective
	{C}haracters of the {I}nfinite {S}ymmetric {G}roup},
  journal = {Jour. Math. Sci. (New York)},
  year = {1999},
  volume = {96},
  pages = {3517-3530},
  number = {5},
  note = {in Russian: Zap. Nauchn. Sem. POMI {\bf{}240\/} (1997), 115-135,
	arXiv:math/0303169 [math.CO]},
  abstract = {Classical Schur P-functions are the particular case of Hall-Littlewood
	polynomials when the parameter is equal to -1. We introduce factorial
	(interpolation) analogues of Schur P-functions. A dimension of a
	skew shifted Young diagram is the number of standard tableaux of
	the given shape. Also these numbers are equal up to simple factors
	to the decomposition coefficients of the restriction of an irreducible
	representation of a spin-symmetric group to a smaller spin-symmetric
	group. In terms of the factorial Schur P-functions we obtain an explicit
	formula for the dimension of a skew shifted Young diagram. The main
	application of this formula is the new derivation of Nazarov's classification
	of undecomposable projective characters of the infinite symmetric
	group.},
  comments = {AMS-TeX, 16 pages, 2 figures},
  eprint = {math/0303169},
  file = {:home/leo/References/i/IvanovNewYork3517-3530-1.pdf:PDF;:home/leo/References/i/IvanovNewYork3517-3530.pdf:PDF},
  oai2identifier = {math/0303169},
  owner = {leo},
  timestamp = {2009.03.11},
  url = {http://arxiv.org/abs/math/0303169}
}

@ARTICLE{ivanov2002kerov,
  author = {Ivanov, V. and Olshanski, G.},
  title = {{Kerov’s central limit theorem for the Plancherel measure on Young
	diagrams}},
  journal = {Symmetric Functions 2001: Surveys of developments and perspectives},
  year = {2002},
  note = {arXiv:math/0304010 [math.CO]},
  file = {:/home/leo/References/i/IvanovOlsh2003.pdf:PDF}
}

@ARTICLE{Jacka2005,
  author = {Saul Jacka and Jon Warren},
  title = {Random orderings of the integers and card shuffling},
  year = {2005},
  abstract = {In this paper we study random orderings of the integers with a certain
	invariance property. We describe all such orders in a simple way.
	We define and represent random shuffles of a countable set of labels
	and then give an interpretation of these orders in terms of a class
	of generalized riffle shuffles.},
  comments = {12 pages. Cited in math.CO/0508131},
  eprint = {math/0508369},
  file = {:home/leo/References/j/Jacka2005.pdf:PDF},
  oai2identifier = {math/0508369},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/pdf/math.PR/0508369}
}

@BOOK{James1978,
  title = {The {R}epresentation {T}heory of the {S}ymmetric {G}roups},
  publisher = {Lecture Notes in Mathematics 682, Springer-Verlag},
  year = {1978},
  author = {G.D. James},
  file = {:home/leo/References/j/James1978.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.04.28}
}

@ARTICLE{Jelinek1992,
  author = {Jelinek, F. and Lafferty, J.D. and Mercer, R.L.},
  title = {{Basic methods of probabilistic context free grammars}},
  journal = {Speech Recognition and Understanding: Recent Advances, Trends, and
	Applications},
  year = {1992},
  volume = {75}
}

@ARTICLE{Johansson2000,
  author = {Kurt Johannson},
  title = {Random Growth and Random Matrices},
  year = {2000},
  file = {:home/leo/References/j/Johansson2000.pdf:PDF},
  owner = {leo},
  timestamp = {2009.10.13}
}

@ARTICLE{johansson2005non,
  author = {Johansson, K.},
  title = {{Non-intersecting, simple, symmetric random walks and the extended
	Hahn kernel}},
  journal = {Annales de l'institut Fourier},
  year = {2005},
  volume = {55},
  pages = {2129--2145},
  number = {6},
  note = {arXiv:math/0409013 [math.PR]},
  booktitle = {Annales de l'Institut Fourier},
  file = {:/home/leo/References/j/Johansson2005_Hahn.pdf:PDF},
  organization = {Association des annales de l'institut Fourier}
}

@ARTICLE{johansson2003discrete,
  author = {Johansson, K.},
  title = {{Discrete polynuclear growth and determinantal processes}},
  journal = {Communications in Mathematical Physics},
  year = {2003},
  volume = {242},
  pages = {277--329},
  number = {1},
  note = {arXiv:math/0206208 [math.PR]},
  file = {:/home/leo/References/j/Johansson2003ExtendedAiry.pdf:PDF},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{johansson2002non,
  author = {Johansson, K.},
  title = {{Non-intersecting paths, random tilings and random matrices}},
  journal = {Probability theory and related fields},
  year = {2002},
  volume = {123},
  pages = {225--280},
  number = {2},
  note = {arXiv:math/0011250 [math.PR]},
  publisher = {Springer}
}

@ARTICLE{Johansson1999,
  author = {Johansson, K.},
  title = {{Discrete orthogonal polynomial ensembles and the Plancherel measure}},
  journal = {Annals of Mathematics},
  year = {2001},
  volume = {153},
  pages = {259-296},
  number = {1},
  note = {arXiv:math/9906120 [math.CO]},
  owner = {leo},
  timestamp = {2009.12.11}
}

@ARTICLE{johansson2000shape,
  author = {Johansson, K.},
  title = {{Shape fluctuations and random matrices}},
  journal = {Communications in mathematical physics},
  year = {2000},
  volume = {209},
  pages = {437--476},
  number = {2},
  note = {arXiv:math/9903134 [math.CO]},
  file = {:/home/leo/References/j/Johansson2000shape_fluct.pdf:PDF},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{johansson2006eigenvalues,
  author = {Johansson, K. and Nordenstam, E.},
  title = {{Eigenvalues of GUE minors}},
  journal = {Electron. J. Probab},
  year = {2006},
  volume = {11},
  pages = {1342--1371},
  number = {50},
  note = {arXiv:math/0606760 [math.PR]}
}

@ARTICLE{Johnson2007,
  author = {Johnson, M. and Griffiths, T.L. and Goldwater, S.},
  title = {{Adaptor grammars: A framework for specifying compositional nonparametric
	Bayesian models}},
  journal = {Advances in neural information processing systems},
  year = {2007},
  volume = {19},
  pages = {641},
  file = {:home/leo/References/j/Johnson2007.pdf:PDF},
  publisher = {Citeseer}
}

@ARTICLE{Karlin1967number,
  author = {Karlin, S. and McGregor, J.},
  title = {{The number of mutant forms maintained in a population}},
  year = {1967},
  volume = {4},
  pages = {415--438},
  booktitle = {Proceedings of the Fifth Berkeley Symposium on mathematics, Statistics
	and probability},
  file = {:home/leo/References/k/Karlin1967.pdf:PDF}
}

@ARTICLE{KMG59-Coincidence,
  author = {Karlin, S. and McGregor, J.},
  title = {Coincidence probabilities},
  journal = {Pacific J. Math.},
  year = {1959},
  volume = {9},
  pages = {1141-1164},
  file = {:/home/leo/References/k/KMG-Coincidence.pdf:PDF},
  owner = {leo},
  timestamp = {2010.08.14}
}

@ARTICLE{KMG58Linear,
  author = {S. Karlin and J. McGregor},
  title = {Linear growth, birth and death processes},
  journal = {J. Math. Mech.},
  year = {1958},
  volume = {7},
  pages = {643-662},
  owner = {leo},
  timestamp = {2010.08.12}
}

@ARTICLE{KMG57BDClassif,
  author = {S. Karlin and J. McGregor},
  title = {The classification of birth and death processes},
  journal = {Trans. Amer. Math. Soc.},
  year = {1957},
  volume = {86},
  pages = {366-400},
  owner = {leo},
  timestamp = {2010.08.12}
}

@BOOK{karlin1981second,
  title = {{A second course in stochastic processes}},
  publisher = {Academic press},
  year = {1999},
  author = {Karlin, S. and Taylor, H.M.},
  file = {:/home/leo/b/books/Samuel_Karlin-A_second_course_in_stochastic_processes-Academic_Press(1981).djvu:Djvu}
}

@ARTICLE{Katori2005PfDyn,
  author = {Katori, M.},
  title = {{Non-colliding system of Brownian particles as Pfaffian process}},
  journal = {RIMS Kokyuroku},
  year = {2005},
  volume = {1422},
  pages = {12-25},
  note = {arXiv:math/0506186 [math.PR]},
  owner = {leo},
  timestamp = {2010.11.14}
}

@INCOLLECTION{NagaoKatoriTanemura2004PfDyn,
  author = {Katori, M. and Nagao, T. and Tanemura, H.},
  title = {{Infinite systems of non-colliding Brownian particles}},
  booktitle = {{Adv. Stud. in Pure Math. \textbf{39} ``Stochastic Analysis on Large
	Scale Interacting Systems''}},
  publisher = {Mathematical Society of Japan},
  year = {2004},
  pages = {283-306, arXiv:math.PR/0301143},
  journal = {Adv. Stud. in Pure Math.},
  owner = {leo},
  timestamp = {2010.11.14}
}

@ARTICLE{Katori2010,
  author = {Makoto Katori and Hideki Tanemura},
  title = {Noncolliding processes, matrix-valued processes and determinantal
	processes},
  year = {2010},
  month = may,
  abstract = {A noncolliding diffusion process is a conditional process of $N$ independent
	one-dimensional diffusion processes such that the particles never
	collide with each other. This process realizes an interacting particle
	system with long-ranged strong repulsive forces acting between any
	pair of particles. When the individual diffusion process is a one-dimensional
	Brownian motion, the noncolliding process is equivalent in distribution
	with the eigenvalue process of an $N \times N$ Hermitian-matrix-valued
	process, which we call Dyson's model. For any deterministic initial
	configuration of $N$ particles, distribution of particle positions
	of the noncolliding Brownian motion on the real line at any fixed
	time $t >0$ is a determinantal point process. We can prove that the
	process is determinantal in the sense that the multi-time correlation
	function for any chosen series of times, which determines joint distributions
	at these times, is also represented by a determinant. We study the
	asymptotic behavior of the system, when the number of Brownian motions
	$N$ in the system tends to infinity. This problem is concerned with
	the random matrix theory on the asymptotics of eigenvalue distributions,
	when the matrix size becomes infinity. In the present paper, we introduce
	a variety of noncolliding diffusion processes by generalizing the
	noncolliding Brownian motion, some of which are temporally inhomogeneous.
	We report the results of our research project to construct and study
	finite and infinite particle systems with long-ranged strong interactions
	realized by noncolliding processes.},
  comments = {AMS-LaTeX, 32 pages, 3 figures, 3 tables, to be published in Sugaku
	Expositions (AMS)},
  eprint = {1005.0533},
  file = {:home/leo/References/k/Katori-Tanemura2010.pdf:PDF},
  oai2identifier = {1005.0533},
  owner = {leo},
  timestamp = {2010.05.17}
}

@BOOK{Kerov-book,
  title = {Asymptotic Representation Theory of the Symmetric Group and its Applications
	in Analysis},
  publisher = {AMS, Translations of Mathematical Monographs},
  year = {2003},
  author = {S. Kerov},
  volume = {219},
  file = {:home/leo/References/k/Kerov-book.ps:PostScript},
  owner = {leo},
  timestamp = {2009.04.15}
}

@ARTICLE{Kerov2000,
  author = {Sergei Kerov},
  title = {Anisotropic {Y}oung diagrams and {J}ack symmetric functions},
  journal = {Functional Analysis and Its Applications},
  year = {2000},
  volume = {34},
  pages = {41-51},
  number = {1},
  note = {arXiv:math/9712267v1 [math.CO]},
  abstract = {We study the Young graph with edge multiplicities arising in a Pieri-type
	formula for Jack symmetric polynomials $P_\mu(x;a)$ with a parameter
	$a$. Starting with the empty diagram, we define recurrently the `dimensions'
	$\dim_a$ in the same way as for the Young lattice or Pascal triangle.
	New proofs are given for two known results. The first is the $a$-hook
	formula for $\dim_a$, first found by R.Stanley. Secondly, we prove
	(for all complex $u$ and $v$) a generalization of the identity $\sum\nu(c(b)+u)(c(b)+v)\dim\nu/\dim\mu=(n+1)(n+uv)$,
	where $\nu$ runs over immediate successors of a Young diagram $\mu$
	with $n$ boxes. Here $c(b)$ is the content of a new box $b$. The
	identity is known to imply the existence of an interesting family
	of positive definite central functions on the infinite symmetric
	group. The approach is based on the interpretation of a Young diagram
	as a pair of interlacing sequences, so that analytic techniques may
	be used to solve combinatorial problems. We show that when dealing
	with Jack polynomials $P_\mu(x;a)$, it makes sense to consider `anisotropic'
	Young diagrams made of rectangular boxes of size $1\times a$.},
  comments = {16 pages, AmSTeX, uses EPSF, three EPS figures},
  eprint = {math/9712267},
  file = {:home/leo/References/k/Kerov2000.pdf:PDF},
  oai2identifier = {math/9712267},
  owner = {leo},
  reportno = {PDMI 24/1997},
  timestamp = {2009.03.26},
  url = {http://arxiv.org/abs/math/9712267}
}

@ARTICLE{kerov1993gaussian,
  author = {Kerov, S.},
  title = {{Gaussian limit for the Plancherel measure of the symmetric group}},
  journal = {Comptes rendus de l'Acad{\'e}mie des sciences. S{\'e}rie 1, Math{\'e}matique},
  year = {1993},
  volume = {316},
  pages = {303--308},
  number = {4},
  file = {:/home/leo/References/k/Kerov1993_CLT.ps:PostScript},
  issn = {0764-4442},
  publisher = {Elsevier}
}

@ARTICLE{Kerov1992,
  author = {S. Kerov},
  title = {A $q$-analog of the hook walk algorithm and random {Y}oung tableaux},
  journal = {Funkts. Anal. Prilozh.},
  year = {1992},
  volume = {26},
  pages = {35-45},
  number = {3},
  file = {:home/leo/References/k/Kerov1992.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.06}
}

@ARTICLE{Kerov1989,
  author = {S. Kerov},
  title = {{C}ombinatorial examples in the theory of {AF}-algebras},
  journal = {Zapiski Nauchn. Semin. LOMI},
  year = {1989},
  volume = {172},
  pages = {55-67},
  note = {English translation: J. Soviet Math., {\bf{}59\/} (1992), 1063-1071.},
  file = {:home/leo/References/k/Kerov1989.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.27}
}

@ARTICLE{Kerov1998,
  author = {Kerov, S. and Okounkov, A. and Olshanski, G.},
  title = {{T}he boundary of {Y}oung graph with {J}ack edge multiplicities},
  journal = {Intern. Math. Research Notices},
  year = {1998},
  volume = {4},
  pages = {173-199},
  note = {arXiv:q-alg/9703037},
  file = {:home/leo/References/k/Kerov1998.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.22},
  url = {http://arxiv.org/abs/q-alg/9703037}
}

@ARTICLE{Kerov2004,
  author = {Kerov, S. and Olshanski, G. and Vershik, A.},
  title = {Harmonic analysis on the infinite symmetric group},
  journal = {Invent. Math.},
  year = {2004},
  volume = {158},
  pages = {551-642},
  number = {3},
  note = {arXiv:math/0312270 [math.RT]},
  abstract = {Let S be the group of finite permutations of the naturals 1,2,...
	The subject of the paper is harmonic analysis for the Gelfand pair
	(G,K), where G stands for the product of two copies of S while K
	is the diagonal subgroup in G. The spherical dual to (G,K) (that
	is, the set of irreducible spherical unitary representations) is
	an infinite-dimensional space. For such Gelfand pairs, the conventional
	scheme of harmonic analysis is not applicable and it has to be suitably
	modified. We construct a compactification of S called the space of
	virtual permutations. It is no longer a group but it is still a G-space.
	On this space, there exists a unique G-invariant probability measure
	which should be viewed as a true substitute of Haar measure. More
	generally, we define a 1-parameter family of probability measures
	on virtual permutations, which are quasi-invariant under the action
	of G. Using these measures we construct a family {T_z} of unitary
	representations of G depending on a complex parameter z. We prove
	that any T_z admits a unique decomposition into a multiplicity free
	integral of irreducible spherical representations of (G,K). Moreover,
	the spectral types of different representations (which are defined
	by measures on the spherical dual) are pairwise disjoint. Our main
	result concerns the case of integral values of parameter z: then
	we obtain an explicit decomposition of T_z into irreducibles. The
	case of nonintegral z is quite different. It was studied by Borodin
	and Olshanski, see e.g. the survey math.RT/0311369.},
  comments = {AMS Tex, 80 pages, no figures},
  eprint = {math/0312270},
  oai2identifier = {math/0312270},
  owner = {leo},
  timestamp = {2009.03.27},
  url = {http://arxiv.org/abs/math/0312270}
}

@ARTICLE{KOV2004,
  author = {Kerov, S. and Olshanski, G. and Vershik, A.},
  title = {{Harmonic analysis on the infinite symmetric group}},
  journal = {Inventiones mathematicae},
  year = {2004},
  volume = {158},
  pages = {551--642},
  number = {3},
  file = {:home/leo/References/k/KOV2004.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{Kerov1993,
  author = {Kerov, S. and Olshanski, G. and Vershik, A.},
  title = {Harmonic analysis on the infinite symmetric group. {A} deformation
	of the regular representation},
  journal = {Comptes Rendus Acad. Sci. Paris Ser. I},
  year = {1993},
  volume = {316},
  pages = {773-778},
  owner = {leo},
  timestamp = {2009.03.27}
}

@ARTICLE{Kerov1990,
  author = {Sergei Kerov and Anatoly Vershik},
  title = {The {G}rothendieck {G}roup of the {I}nfinite {S}ymmetric {G}roup
	and {S}ymmetric {F}unctions
	
	with the {E}lements of the ${K}_0$-functor theory of {AF}-algebras},
  journal = {Adv. Stud. Contemp. Math., Gordon and Breach,},
  year = {1990},
  volume = {7},
  pages = {36-114},
  file = {:/home/leo/References/v/Vershik-Kerov1986-Kfunctor.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.31}
}

@ARTICLE{Khorunzhy2001,
  author = {A. Khorunzhy},
  title = {Products of random matrices and q-Catalan numbers},
  year = {2001},
  abstract = {We describe one interpretation of the q-Catalan numbers in frameworks
	of random matrix theory and weighted partitions of the set of integers.},
  comments = {7 pages, LaTeX},
  eprint = {math/0104074},
  file = {:home/leo/References/h/khorunzhy2001.pdf:PDF},
  oai2identifier = {math/0104074},
  owner = {leo},
  timestamp = {2009.05.11}
}

@ARTICLE{Khoruzhenko2009,
  author = {B. A. Khoruzhenko and H. -J. Sommers},
  title = {Non-Hermitian Random Matrix Ensembles},
  year = {2009},
  month = nov,
  abstract = {This is a concise review of the complex, real and quaternion real
	Ginibre random matrix ensembles and their elliptic deformations.
	Eigenvalue correlations are exactly reduced to two-point kernels
	and discussed in the strongly and weakly non-Hermitian limits of
	large matrix size.},
  comments = {23 pages, invited article for the Oxford Handbook of Random Matrix
	Theory},
  eprint = {0911.5645},
  file = {:/home/leo/References/k/Khoruzhenko2009RandomMatrices.pdf:PDF},
  oai2identifier = {0911.5645},
  owner = {leo},
  timestamp = {2010.11.01}
}

@ARTICLE{Khovanova2008,
  author = {Tanya Khovanova},
  title = {Clifford Algebras and Graphs},
  year = {2008},
  month = oct,
  abstract = {I show how to associate a Clifford algebra to a graph. I describe
	the structure of these Clifford graph algebras and provide many examples
	and pictures. I describe which graphs correspond to isomorphic Clifford
	algebras and also discuss other related sets of graphs. This construction
	can be used to build models of representations of simply-laced compact
	Lie groups.},
  comments = {19 pages, 12 figures},
  eprint = {0810.3322},
  file = {:/home/leo/References/k/Khovanova2008Clifford.pdf:PDF},
  oai2identifier = {0810.3322},
  owner = {leo},
  timestamp = {2010.05.30}
}

@ARTICLE{Kim1999,
  author = {Jeong Han Kim and Boris Pittel},
  title = {Confirming {K}leitman–{W}inston conjecture on the largest coefficient
	in a q-{C}atalan number},
  year = {1999},
  file = {:home/leo/References/k/Kim1999.pdf:PDF;:home/leo/References/k/Kim1999.ps:PostScript},
  owner = {leo},
  timestamp = {2009.05.11}
}

@BOOK{Kingman1993,
  title = {Poisson {P}rocesses},
  publisher = {Clarendon Press},
  year = {1993},
  author = {J. F. C. Kingman},
  owner = {leo},
  timestamp = {2009.08.13}
}

@ARTICLE{Kingman1978,
  author = {J. F. C. Kingman},
  title = {Random partitions in population genetics},
  journal = {Proc. R. Soc. London, A},
  year = {1978},
  volume = {361},
  pages = {1-20},
  owner = {leo},
  timestamp = {2009.03.27}
}

@ARTICLE{Kingman1975,
  author = {J. F. C. Kingman},
  title = {Random discrete distributions},
  journal = {J. Roy. Statist. Soc. B},
  year = {1975},
  volume = {37},
  pages = {1-22},
  owner = {leo},
  timestamp = {2010.01.12}
}

@ARTICLE{Klarner1970,
  author = {Klarner, David A},
  title = {Correspondences between plane trees and binary sequences},
  journal = {J. Combinatorial Theory},
  year = {1970},
  volume = {9},
  pages = {401-411},
  owner = {leo},
  timestamp = {2009.06.12}
}

@BOOK{kleshchev2005linear,
  title = {{Linear and projective representations of symmetric groups}},
  publisher = {Cambridge Univ Pr},
  year = {2005},
  author = {Kleshch{\\"e}v, A.S.},
  file = {:home/leo/References/k/Kleschev-SymmGroup.pdf:PDF}
}

@ARTICLE{Knuth1970,
  author = {Donald Knuth},
  title = {Permutations, matrices, and generalized Young tableaux},
  journal = {Pacific J. Math.},
  year = {1970},
  volume = {34},
  pages = {709-727},
  number = {3},
  file = {:home/leo/References/k/Knuth1970.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.12}
}

@ARTICLE{Knuth1992,
  author = {Donald E. Knuth},
  title = {Two notes on notation},
  journal = {Amer. Math. Monthly},
  year = {1992},
  volume = {99},
  pages = {403--422},
  number = {5},
  abstract = {The author advocates two specific mathematical notations from his
	popular course and joint textbook, "Concrete Mathematics". The first
	of these, extending an idea of Iverson, is the notation "[P]" for
	the function which is 1 when the Boolean condition P is true and
	0 otherwise. This notation can encourage and clarify the use of characteristic
	functions and Kronecker deltas in sums and integrals. The second
	notation puts Stirling numbers on the same footing as binomial coefficients.
	Since binomial coefficients are written on two lines in parentheses
	and read "n choose k", Stirling numbers of the first kind should
	be written on two lines in brackets and read "n cycle k", while Stirling
	numbers of the second kind should be written in braces and read "n
	subset k". (I might say "n partition k".) The written form was first
	suggested by Imanuel Marx. The virtues of this notation are that
	Stirling partition numbers frequently appear in combinatorics, and
	that it more clearly presents functional relations similar to those
	satisfied by binomial coefficients.},
  comments = {Abstract added by Greg Kuperberg},
  eprint = {math/9205211},
  file = {:home/leo/References/k/Knuth1992.pdf:PDF},
  oai2identifier = {math/9205211},
  owner = {leo},
  reportno = {Knuth migration 11/2004},
  timestamp = {2009.09.03}
}

@TECHREPORT{Koekoek1996,
  author = {Koekoek, R. and Swarttouw, R.F.},
  title = {{The Askey-scheme of hypergeometric orthogonal polynomials and its
	q-analogue}},
  institution = {Delft University of Technology and Free University of Amsterdam},
  year = {1996},
  abstract = {We list the so-called Askey-scheme of hypergeometric orthogonal polynomials.
	In chapter 1 we give the definition, the orthogonality relation,
	the three term recurrence relation and generating functions of all
	classes of orthogonal polynomials in this scheme. In chapeter 2 we
	give all limit relation between different classes of orthogonal polynomials
	listed in the Askey-scheme. In chapter 3 we list the q-analogues
	of the polynomials in the Askey-scheme. We give their definition,
	orthogonality relation, three term recurrence relation and generating
	functions. In chapter 4 we give the limit relations between those
	basic hypergeometric orthogonal polynomials. Finally in chapter 5
	we point out how the `classical` hypergeometric orthogonal polynomials
	of the Askey-scheme can be obtained from their q-analogues.},
  eprint = {math/9602214},
  file = {:home/leo/References/k/koekoek1996.pdf:PDF},
  oai2identifier = {math/9602214},
  owner = {leo},
  reportno = {OP-SF 20 Feb 1996},
  timestamp = {2009.04.12}
}

@ARTICLE{Kogan2002RSK,
  author = {M. Kogan and A. Kumar},
  title = {{A PROOF OF PIERI’S FORMULA USING THE GENERALIZED SCHENSTED INSERTION
	ALGORITHM FOR RC-GRAPHS}},
  journal = {Proc. AMS},
  year = {2002},
  volume = {130},
  pages = {2525-2534},
  number = {9},
  file = {:home/leo/References/k/Kogan2002RSK.pdf:PDF},
  owner = {leo},
  timestamp = {2010.04.15}
}

@ARTICLE{kondratiev2002heat,
  author = {Kondratiev, Y. and Lytvynov, E. and {R\"ockner}, M.},
  title = {The heat semigroup on configuration spaces},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  year = {2003},
  volume = {39},
  pages = {1--48},
  abstract = {In this paper, we study properties of the heat semigroup of configuration
	space analysis. Using a natural ``Riemannian-like'' structure of
	the configuration space $\Gamma_X$ over a complete, connected, oriented,
	and stochastically complete Riemannian manifold $X$ of infinite volume,
	the heat semigroup $(e^{-tH^\Gamma})_{t\in\R_+}$ was introduced and
	studied in [{\it J. Func. Anal.} {\bf 154} (1998), 444--500]. Here,
	$H^\Gamma$ is the Dirichlet operator of the Dirichlet form ${\cal
	E}^\Gamma$ over the space $L^2(\Gamma_X,\pi_m)$, where $\pi_m$ is
	the Poisson measure on $\Gamma_X$ with intensity $m$--the volume
	measure on $X$. We construct a metric space $\Gamma_\infty$ that
	is continuously embedded into $\Gamma_X$. Under some conditions on
	the manifold $X$ and we prove that $\Gamma_\infty$ is a set of full
	$\pi_m$ measure. The central results of the paper are two types of
	Feller properties for the heat semigroup. Next, we give a direct
	construction of the independent infinite particle process on the
	manifold $X$, which is a realization of the Brownian motion on the
	configuration space. The main point here is that we prove that this
	process can start in every $\gamma\in\Gamma_\infty$, will never leave
	$\Gamma_\infty$, and has continuous sample path in $\Gamma_\infty$,
	provided $\operatorname{dim}X\ge2$. In this case, we also prove that
	this process is a strong Markov process whose transition probabilities
	are given by the $\P_{t,\gamma}(\cdot)$ above. Furthermore, we discuss
	the necessary changes to be done for constructing the process in
	the case $\operatorname{dim}X=1$. Finally, as an easy consequence
	we get a ``path-wise'' construction of the independent particle process
	on $\Gamma_\infty$ from the underlying Brownian motion.},
  eprint = {math/0211325},
  file = {:home/leo/References/k/kondratiev2002heat.pdf:PDF},
  oai2identifier = {math/0211325},
  owner = {leo},
  timestamp = {2010.04.29}
}

@ARTICLE{Konig2005,
  author = {Konig, W},
  title = {{Orthogonal polynomial ensembles in probability theory}},
  journal = {Probab. Surv},
  year = {2005},
  volume = {2},
  pages = {385--447},
  file = {:home/leo/References/k/Konig2005.pdf:PDF}
}

@ARTICLE{Kovchegov2008,
  author = {Yevgeniy Kovchegov},
  title = {Orthogonality and probability: beyond nearest neighbor transitions},
  year = {2008},
  month = dec,
  abstract = {In this article, we will explore why Karlin-McGregor method of using
	orthogonal polynomials in the study of Markov processes was so successful
	for one dimensional nearest neighbor processes, but failed beyond
	nearest neighbor transitions. We will proceed by suggesting and testing
	possible fixtures.},
  comments = {12 pages},
  eprint = {0812.1779},
  file = {:home/leo/References/k/Kovchegov2008.pdf:PDF},
  oai2identifier = {0812.1779},
  owner = {leo},
  timestamp = {2009.04.03},
  url = {http://arxiv.org/abs/0812.1779}
}

@ARTICLE{Kreweras1965,
  author = {G. Kreweras},
  title = {Sur une classe de problemes de denombrement lies au treillis des
	partitions des entiers},
  journal = {Cahiers du B.U.R.O.},
  year = {1965},
  volume = {6},
  owner = {leo},
  timestamp = {2009.05.29}
}

@ARTICLE{Kuba2009,
  author = {M. Kuba and A. Panholzer and H. Prodinger},
  title = {Lattice paths, sampling without replacement, and limiting distributions},
  journal = {The electronic journal of combinatorics},
  year = {2009},
  volume = {16},
  pages = {\#R67},
  file = {:home/leo/References/k/Kuba2009.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.30}
}

@ARTICLE{konig2002non,
  author = {K{\\"o}nig, W. and O’Connell, N. and Roch, S.},
  title = {{Non-colliding random walks, tandem queues, and discrete orthogonal
	polynomial ensembles}},
  journal = {Electron. J. Probab},
  year = {2002},
  volume = {7},
  number = {5},
  file = {:/home/leo/References/k/konig_oconnell_2002.pdf:PDF}
}

@ARTICLE{lamperti1972semi,
  author = {Lamperti, J.},
  title = {{Semi-stable Markov processes. I}},
  journal = {Probability Theory and Related Fields},
  year = {1972},
  volume = {22},
  pages = {205--225},
  number = {3},
  publisher = {Springer}
}

@BOOK{lang1985sl2,
  title = {{$SL_2 (\mathbb{R})$}},
  publisher = {Springer},
  year = {1985},
  author = {Lang, S.},
  file = {:/home/leo/b/books/S._Lang-SL2__With_33_Figures-Springer(1998).djvu:Djvu},
  isbn = {0387961984}
}

@ARTICLE{Lascoux2009,
  author = {Alain Lascoux and S. Ole Warnaar},
  title = {Branching rules for symmetric Macdonald polynomials and sl_n basic
	hypergeometric series},
  year = {2009},
  month = mar,
  abstract = {A one-parameter generalisation R_{\lambda}(X;b) of the symmetric Macdonald
	polynomials and interpolations Macdonald polynomials is studied from
	the point of view of branching rules. We establish a Pieri formula,
	evaluation symmetry, principal specialisation formula and q-difference
	equation for R_{\lambda}(X;b). We also prove a new multiple q-Gauss
	summation formula and several further results for sl_n basic hypergeometric
	series based on R_{\lambda}(X;b).},
  comments = {28 pages},
  eprint = {0903.3996},
  file = {:home/leo/References/l/Lascoux2009.pdf:PDF},
  oai2identifier = {0903.3996},
  owner = {leo},
  timestamp = {2009.04.13},
  url = {http://arxiv.org/abs/0903.3996}
}

@ARTICLE{Lassalle2006,
  author = {Michel Lassalle and Michael Schlosser},
  title = {Inversion of the Pieri formula for Macdonald polynomials},
  journal = {Adv. Math.},
  year = {2006},
  volume = {202},
  pages = {289-325},
  number = {2},
  abstract = {We give the explicit analytic development of Macdonald polynomials
	in terms of "modified complete" and elementary symmetric functions.
	These expansions are obtained by inverting the Pieri formula. Specialization
	yields similar developments for monomial, Jack and Hall-Littlewood
	symmetric functions.},
  comments = {34 pages},
  eprint = {math/0402127},
  file = {:home/leo/References/l/Lassalle2006.pdf:PDF},
  oai2identifier = {math/0402127},
  owner = {leo},
  timestamp = {2009.04.13},
  url = {http://arxiv.org/abs/math/0402127}
}

@CONFERENCE{DeFinetti,
  author = {Steffen Lauritzen},
  title = {Exchangeability and de Finetti’s Theorem},
  year = {2007},
  file = {:home/leo/References/l/definetti.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.12}
}

@ARTICLE{lenard1975states,
  author = {Lenard, A.},
  title = {{States of classical statistical mechanical systems of infinitely
	many particles. I}},
  journal = {Archive for Rational Mechanics and Analysis},
  year = {1975},
  volume = {59},
  pages = {219--239},
  number = {3},
  publisher = {Springer}
}

@ARTICLE{lenard1975statesII,
  author = {Lenard, A.},
  title = {{States of classical statistical mechanical systems of infinitely
	many particles. II. Characterization of correlation measures}},
  journal = {Archive for Rational Mechanics and Analysis},
  year = {1975},
  volume = {59},
  pages = {241--256},
  number = {3},
  publisher = {Springer}
}

@ARTICLE{lenard1973correlation,
  author = {Lenard, A.},
  title = {{Correlation functions and the uniqueness of the state in classical
	statistical mechanics}},
  journal = {Communications in Mathematical Physics},
  year = {1973},
  volume = {30},
  pages = {35--44},
  number = {1},
  publisher = {Springer}
}

@ARTICLE{Li2010Glauber-Kawasaki,
  author = {Guanhua Li and Eugene Lytvynov},
  title = {A note on equilibrium Glauber and Kawasaki dynamics for permanental
	point processes},
  year = {2010},
  month = may,
  abstract = {We construct two types of equilibrium dynamics of an infinite particle
	system in a locally compact metric space $X$ for which a permanental
	point process is a symmetrizing, and hence invariant measure. The
	Glauber dynamics is a birth-and-death process in $X$, while in the
	Kawasaki dynamics interacting particles randomly hop over $X$. In
	the case $X=\mathbb R^d$, we consider a diffusion approximation for
	the Kawasaki dynamics at the level of Dirichlet forms. This leads
	us to an equilibrium dynamics of interacting Brownian particles for
	which a permanental point process is a symmetrizing measure.},
  eprint = {1005.4537},
  file = {:/home/leo/References/l/Li2010Glauber-Kawasaki.pdf:PDF},
  oai2identifier = {1005.4537},
  owner = {leo},
  timestamp = {2010.05.30}
}

@ARTICLE{Liang2009,
  author = {Liang, P. and Jordan, M.I. and Klein, D.},
  title = {{Probabilistic Grammars and Hierarchical Dirichlet Processes}},
  year = {2009}
}

@ELECTRONIC{Lisovyy2009,
  author = {O. Lisovyy},
  year = {2009},
  title = {Dyson's constant for the hypergeometric kernel},
  note = {arXiv:0910.1914 [math-ph]},
  abstract = {We study a Fredholm determinant of the hypergeometric kernel arising
	in the representation theory of the infinite-dimensional unitary
	group. It is shown that this determinant coincides with the Palmer-Beatty-Tracy
	tau function of a Dirac operator on the hyperbolic disk. Solution
	of the connection problem for Painleve VI equation allows to determine
	its asymptotic behavior up to a constant factor, for which a conjectural
	expression is given in terms of Barnes functions. We also present
	analogous asymptotic results for the Whittaker and Macdonald kernel.},
  comments = {17 pages, 2 figures; v2: added references and derivation of Painleve
	VI from Tracy-Widom equations},
  eprint = {0910.1914},
  file = {:home/leo/References/l/Lisovyy2009.pdf:PDF},
  oai2identifier = {0910.1914},
  owner = {leo},
  timestamp = {2009.11.26}
}

@ARTICLE{logan_shepp1977variational,
  author = {Logan, BF and Shepp, L.A.},
  title = {{A variational problem for random Young tableaux}},
  journal = {Advances in Mathematics},
  year = {1977},
  volume = {26},
  pages = {206--222},
  number = {2},
  issn = {0001-8708},
  publisher = {Elsevier}
}

@BOOK{FOT94,
  title = {{Dirichlet Forms and Symmetric Markov Processes}},
  publisher = {Walter de Gruyter, Berlin/New York.},
  year = {1994},
  author = {M. Fukushima, Y. Oshima and M. Takeda},
  owner = {leo},
  timestamp = {2010.04.22}
}

@BOOK{ma1992introduction,
  title = {{Introduction to the theory of (non-symmetric) Dirichlet forms}},
  publisher = {Universitext},
  year = {1992},
  author = {Ma, Z.M. and R{\"o}ckner, M.},
  file = {:/home/leo/References/m/Ma-Roeckner1992.djvu:Djvu}
}

@BOOK{Macdonald1995,
  title = {Symmetric functions and {H}all polynomials},
  publisher = {Oxford University Press},
  year = {1995},
  author = {Macdonald, I.G.},
  edition = {2nd},
  file = {:home/leo/References/m/Macdonald1995.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.03.14}
}

@ARTICLE{Maceachern1994,
  author = {MacEachern, SN and Muller, P.},
  title = {{Efficient estimation of mixture of Dirichlet process models}},
  year = {1994},
  institution = {Citeseer}
}

@ARTICLE{Mairesse2005,
  author = {Jean Mairesse},
  title = {Random Walks on Groups and Monoids with a Markovian Harmonic Measure},
  journal = {Electronic Journal of Probability},
  year = {2005},
  volume = {10},
  pages = {1417-1441},
  file = {:home/leo/References/m/Mairesse2005.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.03},
  url = {http://www.emis.de/journals/EJP-ECP/_ejpecp/viewarticle754a.html?id=1554&layout=abstract}
}

@ARTICLE{matsumoto2008jack,
  author = {Matsumoto, S.},
  title = {{Jack deformations of Plancherel measures and traceless Gaussian
	random matrices}},
  journal = {the electronic journal of combinatorics},
  year = {2008},
  volume = {15},
  pages = {1},
  number = {R149},
  note = {arXiv:0810.5619 [math.CO]},
  file = {:m/Matsumoto_Jack_Deform_2008.pdf:PDF}
}

@ARTICLE{Matsumoto2005,
  author = {Matsumoto, S.},
  title = {{Correlation functions of the shifted Schur measure}},
  journal = {J. Math. Soc. Japan, vol.},
  year = {2005},
  volume = {57},
  pages = {619--637},
  number = {3},
  note = {arXiv:math/0312373 [math.CO]},
  abstract = {The shifted Schur measure introduced by Tracy and Widom is a measure
	on the set of all strict partitions, which is defined by Schur $Q$-functions.
	The main aim of this paper is to calculate the correlation function
	of this measure, which is given by a pfaffian. As an application,
	we prove that a limit distribution of $\lambda_j$'s with respect
	to a shifted version of the Plancherel measure for symmetric groups
	is identical with the corresponding distribution of the original
	Plancherel measure. Further we give expressions of the mean value
	and the variance of the size of a partition with respect to the measure
	defined by Hall-Littlewood functions.},
  comments = {18 pages, the title of the first version is ``A limit distribution
	of the length of the longest ascent pair for a random permutation''},
  eprint = {math/0312373},
  file = {:home/leo/References/m/Matsumoto2005.pdf:PDF},
  oai2identifier = {math/0312373},
  owner = {leo},
  timestamp = {2009.11.26}
}

@ARTICLE{matsumoto2005alpha,
  author = {Matsumoto, S.},
  title = {{[alpha]-Pfaffian, pfaffian point process and shifted Schur measure}},
  journal = {Linear Algebra and its Applications},
  year = {2005},
  volume = {403},
  pages = {369--398},
  file = {:home/leo/References/m/Matsumoto2004.pdf:PDF},
  publisher = {Elsevier}
}

@ARTICLE{matsumoto2005scaling,
  author = {Matsumoto, S.},
  title = {{A scaling limit for t-Schur measures}},
  journal = {Kyushu Journal of Mathematics},
  year = {2005},
  volume = {59},
  pages = {25--38},
  number = {1},
  file = {:home/leo/References/m/Matsumoto2003.pdf:PDF},
  publisher = {J-STAGE}
}

@ARTICLE{mazza2002products,
  author = {Mazza, C. and Piau, D.},
  title = {{Products of correlated symmetric matrices and q-Catalan numbers}},
  journal = {Probability Theory and Related Fields},
  year = {2002},
  volume = {124},
  pages = {574--594},
  number = {4},
  file = {:/home/leo/References/m/Mazza2002qCatalan.pdf:PDF},
  issn = {0178-8051},
  publisher = {Springer}
}

@ARTICLE{MTW1977,
  author = {B. M. McCoy and C. A. Tracy and T. T. Wu},
  title = {{Painleve functions of the third kind}},
  journal = {Jour. Math. Phys.},
  year = {1977},
  volume = {18},
  pages = {1058–1092},
  number = {5},
  owner = {leo},
  timestamp = {2009.12.03}
}

@BOOK{mehta2004random,
  title = {{Random matrices}},
  publisher = {Academic press},
  year = {2004},
  author = {Mehta, M.L.},
  file = {:/home/leo/b/books/Mehta M.L. Random matrices (3ed., Elsevier, 2004)(ISBN 0120884097)(KA)(600dpi)(T)(704s)_MCat_.djvu:Djvu}
}

@ARTICLE{mehta1983some,
  author = {Mehta, M.L. and Pandey, A.},
  title = {{On some Gaussian ensembles of Hermitian matrices}},
  journal = {Journal of Physics A: Mathematical and General},
  year = {1983},
  volume = {16},
  pages = {2655--2684},
  publisher = {IOP Publishing}
}

@ARTICLE{pandey1983gaussian,
  author = {Mehta, M.L. and Pandey, A.},
  title = {{Gaussian ensembles of random Hermitian matrices intermediate between
	orthogonal and unitary ones}},
  journal = {Communications in Mathematical Physics},
  year = {1983},
  volume = {87},
  pages = {449--468},
  number = {4},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{Merker2010,
  author = {Joel Merker},
  title = {Theory of Transformation Groups, by S. Lie and F. Engel (Vol. I,
	1888). Modern Presentation and English Translation},
  year = {2010},
  month = mar,
  abstract = {The goal of this modern presentation, followed by an English translation
	from the German, is to make available some parts of Lie's very systematic
	mathematical thought which deserve to join the contemporary literature,
	and above all also, to be read.},
  comments = {650 pages, 29 chapters, 7 figures},
  eprint = {1003.3202},
  file = {:home/leo/References/l/Sophus_Lie.pdf:PDF},
  oai2identifier = {1003.3202},
  owner = {leo},
  timestamp = {2010.03.17}
}

@ARTICLE{mikio-holonomic,
  author = {Mikio, S. and MlWA, T. and JlMBO, M.},
  title = {{Holonomic Quantum Fields I}},
  journal = {Publications of the Research Institute for Mathematical Sciences},
  year = {1977},
  pages = {223--267},
  file = {:home/leo/References/s/SatoMiwaJimbo-PRIMS-1978.pdf:PDF}
}

@ARTICLE{Miller2008,
  author = {Alexander Miller and Victor Reiner},
  title = {Differential posets and Smith normal forms},
  year = {2008},
  month = nov,
  abstract = {We conjecture a strong property for the up and down maps U and D in
	an r-differential poset: DU+tI and UD+tI have Smith normal forms
	over Z[t]. In particular, this would determine the integral structure
	of the maps U, D, UD, DU, including their ranks in any characteristic.
	As evidence, we prove the conjecture for the Young-Fibonacci lattice
	YF studied by Okada and its r-differential generalizations Z(r),
	as well as verifying many of its consequences for Young's lattice
	Y and the r-differential Cartesian products Y^r.},
  comments = {29 pages, 9 figures},
  eprint = {0811.1983},
  file = {:/home/leo/References/m/Miller-Reiner-Diff-Posets-2008.pdf:PDF},
  oai2identifier = {0811.1983},
  owner = {leo},
  timestamp = {2010.07.15}
}

@BOOK{Moran1962,
  title = {{The statistical processes of evolutionary theory}},
  publisher = {Clarendon Press},
  year = {1962},
  author = {Moran, P.A.P.}
}

@ARTICLE{Muller2004,
  author = {M{\\"u}ller, P. and Quintana, F.A.},
  title = {{Nonparametric Bayesian data analysis}},
  journal = {Statistical science},
  year = {2004},
  pages = {95--110},
  file = {:home/leo/References/m/Muller2004.pdf:PDF},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{Nagaev1987,
  author = {A. V. Nagaev and S. M. Shcolnick},
  title = {Properties of mode of spectral positive stable distributions},
  journal = {Lecture Notes in Mathematics. Stability Problems for Stochastic Models},
  year = {1987},
  volume = {1233},
  pages = {69-78},
  note = {Springer},
  file = {:home/leo/References/n/Nagaev1987.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.14}
}

@ARTICLE{nagao2007pfaffian,
  author = {Nagao, T.},
  title = {{Pfaffian Expressions for Random Matrix Correlation Functions}},
  journal = {Journal of Statistical Physics},
  year = {2007},
  volume = {129},
  pages = {1137--1158},
  number = {5},
  note = {arXiv:0708.2036 [math-ph]},
  file = {:/home/leo/References/n/Nagao2007Pfaffian.pdf:PDF},
  issn = {0022-4715},
  publisher = {Springer}
}

@ARTICLE{nagao1998multilevel,
  author = {Nagao, T. and Forrester, P.J.},
  title = {{Multilevel dynamical correlation functions for Dyson's Brownian
	motion model of random matrices}},
  journal = {Physics Letters A},
  year = {1998},
  volume = {247},
  pages = {42--46},
  number = {1-2},
  publisher = {Elsevier}
}

@ARTICLE{nagao2003dynamical,
  author = {Nagao, T. and Katori, M. and Tanemura, H.},
  title = {{Dynamical correlations among vicious random walkers}},
  journal = {Physics Letters A},
  year = {2003},
  volume = {307},
  pages = {29--35},
  number = {1},
  note = {arXiv:cond-mat/0202068 [cond-mat.stat-mech]},
  issn = {0375-9601},
  publisher = {Elsevier}
}

@ARTICLE{NagaoWadati1991,
  author = {Nagao, T. and Wadati, M.},
  title = {{Correlation functions of random matrix ensembles related to classical
	orthogonal polynomials}},
  journal = {J. Phys. Soc. Japan},
  year = {1991},
  volume = {60},
  pages = {3298-3322},
  owner = {leo},
  timestamp = {2010.11.14}
}

@ARTICLE{NagaoWadati1992,
  author = {Nagao, T. and Wadati, M.},
  title = {{Correlation functions of random matrix ensembles related to classical
	orthogonal polynomials II, III}},
  journal = {J. Phys. Soc. Japan},
  year = {1991},
  volume = {61},
  pages = {78-88, 1910-1918},
  owner = {leo},
  timestamp = {2010.11.14}
}

@ARTICLE{Nazarov1992,
  author = {Nazarov, M.L.},
  title = {Projective representations of the infinite symmetric group},
  journal = {Representation theory and dynamical systems (A. M. Vershik, ed.),
	Advances in Soviet Mathematics, Amer. Math. Soc.},
  year = {1992},
  volume = {9},
  pages = {115-130},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{nazarov1992factor,
  author = {Nazarov, ML},
  title = {{Factor representations of the infinite spin-symmetric group}},
  journal = {Journal of Mathematical Sciences},
  year = {1992},
  volume = {62},
  pages = {2690--2698},
  number = {2},
  file = {:/home/leo/References/n/Nazarov1992.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{Neal2000,
  author = {Neal, R.M.},
  title = {{Markov chain sampling methods for Dirichlet process mixture models}},
  journal = {Journal of computational and graphical statistics},
  year = {2000},
  pages = {249--265},
  publisher = {American Statistical Association, Institute of Mathematical Statistics,
	and Interface Foundation of North America}
}

@ARTICLE{nelson1959analytic,
  author = {Nelson, E.},
  title = {{Analytic vectors}},
  journal = {Ann. Math.},
  year = {1959},
  volume = {2},
  pages = {572--615},
  number = {70},
  file = {:/home/leo/References/n/Nelson-Analytic-1959.pdf:PDF}
}

@BOOK{wilf1978combinatorial,
  title = {{Combinatorial algorithms: for computers and calculators}},
  publisher = {Academic Press New York},
  year = {1978},
  author = {Nijenhuis, A. and Wilf, H.S.},
  file = {:home/leo/References/w/CombinatorialAlgorithms-Wilf.pdf:PDF}
}

@INCOLLECTION{Okounkov2001a,
  author = {Okounkov, A.},
  title = {{S}{L}(2) and z-measures},
  booktitle = {Random matrix models and their applications},
  publisher = {Cambridge Univ. Press},
  year = {2001},
  editor = {P.~M.~Bleher and A.~R.~Its},
  volume = {{\bf{}40\/}, pp.~407--420},
  series = {Mathematical Sciences Research Institute Publications},
  note = {arXiv:math/0002135 [math.RT]},
  file = {:home/leo/References/o/Okounkov2001a.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.26}
}

@INCOLLECTION{Okounkov2002,
  author = {Okounkov, A.},
  title = {Symmetric functions and random partitions},
  booktitle = {Symmetric functions 2001: Surveys of Developments and Perspectives},
  publisher = {Kluwer Academic Publishers},
  year = {2002},
  editor = {S. Fomin},
  note = {arXiv:math/0309074 [math.CO]},
  file = {:/home/leo/References/o/Okounkov2002_SymmFunct.pdf:PDF},
  owner = {leo},
  timestamp = {2010.08.25}
}

@ARTICLE{okounkov2001infinite,
  author = {Okounkov, A.},
  title = {{Infinite wedge and random partitions}},
  journal = {Selecta Mathematica, New Series},
  year = {2001},
  volume = {7},
  pages = {57--81},
  number = {1},
  note = {arXiv:math/9907127 [math.RT]},
  file = {:/home/leo/References/o/Okounkov-InfWedge.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{okounkov2000random,
  author = {Okounkov, A.},
  title = {{Random matrices and random permutations}},
  journal = {International Mathematics Research Notices},
  year = {2000},
  volume = {2000},
  pages = {1043--1095},
  number = {20},
  note = {arXiv:math/9903176 [math.CO]}
}

@ARTICLE{Okounkov1997,
  author = {Andrei Okounkov},
  title = {{Log-Concavity of Multiplicities with Application to Characters of
	U(∞)}},
  journal = {Advances in Mathematics},
  year = {1997},
  volume = {127},
  pages = {258-282},
  number = {2},
  owner = {leo},
  timestamp = {2009.10.18}
}

@ARTICLE{OkOl1998,
  author = {Andrei Okounkov and Grigori Olshanski},
  title = {{Asymptotics of Jack polynomials as the number of variables goes
	to infinity }},
  journal = {Int. Math. Res. Notices},
  year = {1998},
  volume = {13},
  pages = {641-682},
  owner = {leo},
  timestamp = {2009.10.18}
}

@ARTICLE{Okounkov2005,
  author = {Andrei Okounkov and Nicolai Reshetikhin},
  title = {Random skew plane partitions and the Pearcey process},
  year = {2005},
  abstract = {We study random skew 3D partitions weighted by $q^{\textup{vol}}$
	and, specifically, the $q\to 1$ asymptotics of local correlations
	near various points of the limit shape. We obtain sine-kernel asymptotics
	for correlations in the bulk of the disordered region, Airy kernel
	asymptotics near a general point of the frozen boundary, and a Pearcey
	kernel asymptotics near a cusp of the frozen boundary.},
  eprint = {math/0503508},
  file = {:home/leo/References/o/Okounkov2005.pdf:PDF},
  oai2identifier = {math/0503508},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/abs/math/0503508}
}

@ARTICLE{okounkov2003correlation,
  author = {Okounkov, A. and Reshetikhin, N.},
  title = {{Correlation function of Schur process with application to local
	geometry of a random 3-dimensional Young diagram}},
  journal = {Journal of the American Mathematical Society},
  year = {2003},
  volume = {16},
  pages = {581--603},
  number = {3},
  note = {arXiv:math/0107056 [math.CO]},
  file = {:/home/leo/References/o/Okounkov_Reshetikhin_SchurProcess.pdf:PDF},
  publisher = {American Mathematical Society}
}

@ARTICLE{okura1998new,
  author = {Okura, H.},
  title = {{A new approach to the skew product of symmetric Markov processes}},
  journal = {Mem. Fac. Eng. and Design Kyoto Inst. Tech},
  year = {1998},
  volume = {46},
  pages = {1--12},
  file = {:/home/leo/References/o/Okura1997.pdf:PDF}
}

@ARTICLE{Olshanski2009,
  author = {Olshanski, G.},
  title = {Anisotropic {Y}oung diagrams and infinite-dimensional diffusion processes
	with the {J}ack parameter},
  journal = {International Mathematics Research Notices},
  year = {2010},
  volume = {2010},
  pages = {1102--1166},
  number = {6},
  note = {arXiv:0902.3395 [math.PR]},
  abstract = {We construct a family of Markov processes with continuous sample trajectories
	on an infinite-dimensional space, the Thoma simplex. The family depends
	on three continuous parameters, one of which, the Jack parameter,
	is similar to the beta parameter in random matrix theory. The processes
	arise in a scaling limit transition from certain finite Markov chains,
	the so called up-down chains on the Young graph with the Jack edge
	multiplicities. Each of the limit Markov processes is ergodic and
	its stationary distribution is a symmetrizing measure. The infinitesimal
	generators of the processes are explicitly computed; viewed as selfadjoint
	operators in the L^2 spaces over the symmetrizing measures, the generators
	have purely discrete spectrum which is explicitly described. For
	the special value 1 of the Jack parameter, the limit Markov processes
	coincide with those of the recent work by Borodin and the author
	(Prob. Theory Rel. Fields 144 (2009), 281--318; arXiv:0810.3751).
	In the limit as the Jack parameter goes to 0, our family of processes
	degenerates to the one-parameter family of diffusions on the Kingman
	simplex studied long ago by Ethier and Kurtz in connection with some
	models of population genetics. The techniques of the paper are essentially
	algebraic. The main computations are performed in the algebra of
	shifted symmetric functions with the Jack parameter and rely on the
	concept of anisotropic Young diagrams due to Kerov.},
  comments = {AMS TeX, 53 pages, 1 figure},
  eprint = {0902.3395},
  file = {:home/leo/References/o/Olshanski2009.pdf:PDF},
  oai2identifier = {0902.3395},
  owner = {leo},
  timestamp = {2009.03.11},
  url = {http://arxiv.org/abs/0902.3395}
}

@ELECTRONIC{Olshanski2010LaguerreMeixner,
  author = {Olshanski, G.},
  year = {2010},
  title = {{Laguerre and Meixner Symmetric Functions, and Infinite-dimensional
	Diffusion Processes}},
  note = {arXiv:1009.2037 [math.CO]},
  file = {:/home/leo/References/o/Olshanski-LaguerreMeixner2010.pdf:PDF},
  owner = {leo},
  timestamp = {2010.09.27}
}

@ARTICLE{olshanski2010plancherel,
  author = {Olshanski, G.},
  title = {{Plancherel averages: Remarks on a paper by Stanley}},
  journal = {the electronic journal of combinatorics},
  year = {2010},
  volume = {17},
  pages = {1},
  number = {R43},
  note = {arXiv:0905.1304 [math.CO]},
  file = {:/home/leo/References/o/Olshanski2010Plancherel.pdf:PDF}
}

@ARTICLE{Olshanski2009a,
  author = {Olshanski, G.},
  title = {{The quasi-invariance property for the Gamma kernel determinantal
	measure}},
  journal = {Adv. Math., to appear},
  year = {2009},
  note = {arXiv:0910.0130 [math.PR]},
  abstract = {The Gamma kernel is a projection kernel of the form (A(x)B(y)-B(x)A(y))/(x-y),
	where A and B are certain functions on the one-dimensional lattice
	expressed through Euler's Gamma function. The Gamma kernel depends
	on two continuous parameters; its principal minors serve as the correlation
	functions of a determinantal probability measure P defined on the
	space of infinite point configurations on the lattice. As was shown
	earlier (Borodin and Olshanski, Advances in Math. 194 (2005), 141-202;
	arXiv:math-ph/0305043), P describes the asymptotics of certain ensembles
	of random partitions in a limit regime. Theorem: The determinantal
	measure P is quasi-invariant with respect to finitary permutations
	of the nodes of the lattice. This result is motivated by an application
	to a model of infinite particle stochastic dynamics.},
  comments = {53 pages, 2 figures; Version 2: minor corrections},
  eprint = {0910.0130},
  file = {:home/leo/References/o/Olshanski2009a.pdf:PDF},
  oai2identifier = {0910.0130},
  owner = {leo},
  timestamp = {2009.12.10}
}

@UNPUBLISHED{Olshanski-fockone,
  author = {Olshanski, G.},
  title = {{Fock Space and Time-dependent Determinantal Point Processes}},
  note = {unpublished work},
  year = {2008},
  owner = {leo},
  timestamp = {2010.08.13}
}

@ARTICLE{Olshanski2003,
  author = {Grigori Olshanski},
  title = {The problem of harmonic analysis on the infinite-dimensional unitary
	group},
  journal = {J. Funct. Anal.},
  year = {2003},
  volume = {205},
  pages = {464-524},
  number = {2},
  abstract = {The goal of harmonic analysis on a (noncommutative) group is to decompose
	the most `natural' unitary representations of this group (like the
	regular representation) on irreducible ones. The infinite-dimensional
	unitary group U(infinity) is one of the basic examples of `big' groups
	whose irreducible representations depend on infinitely many parameters.
	Our aim is to explain what the harmonic analysis on U(infinity) consists
	of. We deal with unitary representations of a reasonable class, which
	are in 1-1 correspondence with characters (central, positive definite,
	normalized functions on U(infinity)). The decomposition of any representation
	of this class is described by a probability measure (called spectral
	measure) on the space of indecomposable characters. The indecomposable
	characters were found by Dan Voiculescu in 1976. The main result
	of the present paper consists in explicitly constructing a 4-parameter
	family of `natural' representations and computing their characters.
	We view these representations as a substitute of the nonexisting
	regular representation of U(infinity). We state the problem of harmonic
	analysis on U(infinity) as the problem of computing the spectral
	measures for these `natural' representations. A solution to this
	problem is given in the next paper math/0109194, joint with Alexei
	Borodin. We also prove a few auxiliary general results. In particular,
	it is proved that the spectral measure of any character of U(infinity)
	can be approximated by a sequence of (discrete) spectral measures
	for the restrictions of the character to the compact unitary groups
	U(N). This fact is a starting point for computing spectral measures.},
  comments = {AMSTeX, 50 pages},
  eprint = {math/0109193},
  file = {:home/leo/References/o/Olshanski2003.pdf:PDF},
  oai2identifier = {math/0109193},
  owner = {leo},
  timestamp = {2009.05.18}
}

@ELECTRONIC{Olshanski1998,
  author = {Olshanski, G.},
  year = {1998},
  title = {{Point processes and the infinite symmetric group. Part V: Analysis
	of the matrix Whittaker kernel}},
  note = {arXiv:math/9810014},
  abstract = {The matrix Whittaker kernel has been introduced by A. Borodin in Part
	IV of the present series of papers. This kernel describes a point
	process -- a probability measure on a space of countable point configurations.
	The kernel is expressed in terms of the Whittaker confluent hypergeometric
	functions. It depends on two parameters and determines a $J$-symmetric
	operator $K$ in $L^2(R_+)\oplus L^2(R_+)$. It turns out that the
	operator $K$ can be represented in the form $L(1+L)^{-1}$, where
	$L$ is a rather simple integral operator: the kernel of $L$ is expressed
	in terms of elementary functions only. This is our main result; it
	elucidates the nature of the matrix Whittaker kernel and makes it
	possible to directly verify the existence of the associated point
	process. Next, we show that the matrix Whittaker kernel can be degenerated
	to a family of kernels expressed through the Bessel and Macdonald
	functions. In this way one can obtain both the well-known Bessel
	kernel (which arises in random matrix theory) and certain interesting
	new kernels.},
  comments = {AMSTeX, 25 pages},
  eprint = {math/9810014},
  file = {:home/leo/References/o/Olshanski1998.pdf:PDF},
  oai2identifier = {math/9810014},
  owner = {leo},
  timestamp = {2009.11.17}
}

@INCOLLECTION{OlshRegVer2003,
  author = {Olshanski, G. and Regev, A. and Vershik, A.},
  title = {{Frobenius–Schur functions}},
  booktitle = {{Studies in Memory of Issai Schur}},
  publisher = {Birkhauser},
  year = {2003},
  editor = {Joseph, A. and Melnikov, A. and Rentschler, R.},
  volume = {210},
  series = {Progress in Mathematics},
  pages = {251–300},
  note = {arXiv:math/0110077 [math.CO]},
  file = {:/home/leo/References/o/OlshRegVer2003.pdf:PDF},
  owner = {leo},
  timestamp = {2010.11.17}
}

@INCOLLECTION{OlVer1996,
  author = {G. Olshanski and A. Vershik},
  title = {{Ergodic unitarily invariant measures on the space of infinite Hermitian
	matrices}},
  booktitle = {Contemporary Mathematical Physics. F.A..Berezi's memorial volume.
	American Mathematical Society Translations, (Advances in the Mathematical
	Sciences --- 31)},
  year = {1996},
  volume = {175},
  series = {2},
  pages = {137-175},
  note = {arXiv:math/9601215v1 [math.RT]},
  file = {:home/leo/References/o/OlVer96.pdf:PDF},
  owner = {leo},
  timestamp = {2010.04.25}
}

@ARTICLE{overbeck1997geometric,
  author = {OVERBECK, L. and R{\\"O}CKNER, M.},
  title = {{Geometric aspects of finite and infinite-dimensional Fleming-Viot
	processes}},
  journal = {Random Operators and Stochastic Equations},
  year = {1997},
  volume = {5},
  pages = {35--58},
  number = {1},
  file = {:/home/leo/References/r/Rockner1994FV.pdf:PDF},
  publisher = {Walter de Gruyter, Berlin/New York Berlin, New York}
}

@ARTICLE{overbeck1995analytic,
  author = {Overbeck, L. and Schmuland, B.},
  title = {{An analytic approach to Fleming-Viot processes with interactive
	selection}},
  journal = {The Annals of Probability},
  year = {1995},
  volume = {23},
  pages = {1--36},
  number = {1},
  file = {:/home/leo/References/o/Overbeck-Roeckner-Schmuland-AnnProb1995.pdf:PDF},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{Pemantle2009,
  author = {Robin Pemantle and Herbert S. Wilf},
  title = {Counting nondecreasing integer sequences that lie below a barrier},
  year = {2009},
  month = may,
  abstract = {Given a barrier $0 \leq b_0 \leq b_1 \leq ...$, let $f(n)$ be the
	number of nondecreasing integer sequences $0 \leq a_0 \leq a_1 \leq
	... \leq a_n$ for which $a_j \leq b_j$ for all $0 \leq j \leq n$.
	Known formul\ae for $f(n)$ include an $n \times n$ determinant whose
	entries are binomial coefficients (Kreweras, 1965) and, in the special
	case of $b_j = rj+s$, a short explicit formula (Proctor, 1988, p.320).
	A relatively easy bivariate recursion, decomposing all sequences
	according to $n$ and $a_n$, leads to a bivariate generating function,
	then a univariate generating function, then a linear recursion for
	$\{f(n) \}$. Moreover, the coefficients of the bivariate generating
	function have a probabilistic interpretation, leading to an analytic
	inequality which is an identity for certain values of its argument.},
  eprint = {0905.0609},
  file = {:home/leo/References/p/Pemantle2009.pdf:PDF},
  oai2identifier = {0905.0609},
  owner = {leo},
  timestamp = {2009.05.20}
}

@ARTICLE{perman1992size,
  author = {Perman, M. and Pitman, J. and Yor, M.},
  title = {{Size-biased sampling of Poisson point processes and excursions}},
  journal = {Probability Theory and Related Fields},
  year = {1992},
  volume = {92},
  pages = {21--39},
  number = {1},
  publisher = {Springer}
}

@ARTICLE{Petersen2005,
  author = {T. Kyle Petersen},
  title = {Enriched $P$-partitions and peak algebras},
  year = {2005},
  abstract = {We develop a more general view of Stembridge's enriched $P$-partitions
	and use this theory to outline the structure of peak algebras for
	the symmetric group and the hyperoctahedral group. Initially we focus
	on commutative peak algebras, spanned by sums of permutations with
	the same number of peaks, where we consider several variations on
	the definition of "peak." Whereas Stembridge's enriched $P$-partitions
	are related to quasisymmetric functions (the dual coalgebra of Solomon's
	type A descent algebra), our generalized enriched $P$-partitions
	are related to type B quasisymmetric functions (the dual coalgebra
	of Solomon's type B descent algebra). Using these functions, we move
	on to explore (non-commutative) peak algebras spanned by sums of
	permutations with the same set of peaks. While some of these algebras
	have been studied before, our approach gives explicit structure constants
	with a combinatorial description.},
  comments = {39 pages, 8 figures},
  eprint = {math/0508041},
  file = {:home/leo/References/p/Petersen2005.pdf:PDF},
  oai2identifier = {math/0508041},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/abs/math/0508041}
}

@ARTICLE{petrov2009eng,
  author = {Petrov, L.},
  title = {{Random walks on strict partitions}},
  journal = {Journal of Mathematical Sciences},
  year = {2010},
  volume = {168},
  pages = {437--463},
  number = {3},
  note = {in Russian: Zap. Nauchn. Sem. POMI {\bf{}373\/} (2009), 226--272,
	arXiv:0904.1823 [math.PR]},
  publisher = {Springer}
}

@ARTICLE{Petrov2010,
  author = {Petrov, L.},
  title = {{Random Strict Partitions and Determinantal Point Processes}},
  journal = {Electronic Communications in Probability},
  year = {2010},
  volume = {15},
  pages = {162-175},
  note = {arXiv:1002.2714 [math.PR]},
  file = {:/home/leo/References/p/Petrov2010-ECP.pdf:PDF},
  owner = {leo},
  timestamp = {2010.07.02}
}

@ELECTRONIC{Petrov2010Pfaffian,
  author = {Petrov, L.},
  year = {2010},
  title = {Pfaffian stochastic dynamics of strict partitions},
  note = {arXiv:1011.3329 [math.PR]},
  owner = {leo},
  timestamp = {2010.09.27}
}

@ARTICLE{Petrov2007,
  author = {Petrov, L.},
  title = {A two-parameter family of infinite-dimensional diffusions in the
	{K}ingman simplex},
  journal = {Functional Analysis and Its Applications},
  year = {2009},
  volume = {43},
  pages = {279-296},
  number = {4},
  note = {arXiv:0708.1930 [math.PR]},
  abstract = {The aim of the paper is to introduce a two-parameter family of infinite-dimensional
	diffusion processes X(alpha,theta) related to Pitman's two-parameter
	Poisson-Dirichlet distributions PD(alpha,theta). The diffusions X(alpha,theta)
	are obtained in a scaling limit transition from certain finite Markov
	chains on partitions of natural numbers. The state space of X(alpha,theta)
	is an infinite-dimensional simplex called the Kingman simplex. In
	the special case when parameter alpha vanishes, our finite Markov
	chains are similar to Moran-type model in population genetics, and
	our diffusion processes reduce to the infinitely-many-neutral-alleles
	diffusion model studied by Ethier and Kurtz (1981). Our main results
	extend those of Ethier and Kurtz to the two-parameter case and are
	as follows: The Poisson-Dirichlet distribution PD(alpha,theta) is
	a unique stationary distribution for the corresponding process X(alpha,theta);
	the process is ergodic and reversible; the spectrum of its generator
	is explicitly described. The general two-parameter case seems to
	fall outside the setting of models of population genetics, and our
	approach differs in some aspects from that of Ethier and Kurtz. We
	also consider the case of degenerate series of parameters alpha and
	theta and conclude that the diffusions in finite-dimensional simplexes
	studied by Ethier and Kurtz (1981) arise as a special case of our
	two-parameter family of diffusions.},
  comments = {LaTex, 20 pages; v2: minor typos fixed, v3: title changed, discussion
	clarified and improved (conclusions unchanged), added new results
	about degenerate series of parameters},
  eprint = {0708.1930},
  file = {:home/leo/References/p/Petrov2007.pdf:PDF},
  oai2identifier = {0708.1930},
  owner = {leo},
  timestamp = {2009.03.11},
  url = {http://arxiv.org/abs/0708.1930}
}

@ARTICLE{Petrov2009,
  author = {Petrov, L.},
  title = {Random Walks on Strict Partitions},
  journal = {Zapiski Nauchn. Semin. POMI},
  year = {2009},
  volume = {373},
  pages = {226-272},
  month = apr,
  note = {arXiv:0904.1823 [math.PR]},
  abstract = {We consider a certain sequence of random walks. The state space of
	the n-th random walk is the set of all strict partitions of n (that
	is, partitions without equal parts). We prove that, as n goes to
	infinity, these random walks converge to a continuous-time Markov
	process. The state space of this process is the infinite-dimensional
	simplex consisting of all nonincreasing infinite sequences of nonnegative
	numbers with sum less than or equal to one. The main result about
	the limit process is the expression of its the pre-generator as a
	formal second order differential operator in a polynomial algebra.
	Of separate interest is the generalization of Kerov interlacing coordinates
	to the case of shifted Young diagrams.},
  comments = {LaTeX, 54 pages, 3 figures},
  eprint = {0904.1823},
  file = {:home/leo/References/p/Petrov2009.pdf:PDF},
  oai2identifier = {0904.1823},
  owner = {leo},
  timestamp = {2009.09.10}
}

@ARTICLE{Petrov2009umn_eng,
  author = {Petrov, L.},
  title = {Limit behaviour of certain random walks on strict partitions},
  journal = {Russian Mathematical Surveys},
  year = {2009},
  volume = {64},
  pages = {1139--1141},
  number = {6},
  owner = {leo},
  timestamp = {2010.10.24}
}

@BOOK{Pitman2002,
  title = {Combinatorial Stochastic Processes: Ecole d'Eté de Probabilités de
	Saint-Flour XXXII - 2002},
  publisher = {Springer-Verlag},
  year = {2006},
  author = {Jim Pitman},
  series = {Lect. Notes in Math. 1875},
  address = {Berlin},
  note = {http://works.bepress.com/jim\_pitman/1},
  citeseercitationcount = {0},
  citeseerurl = {http://citeseer.ist.psu.edu/610513.html},
  file = {:home/leo/References/p/Pitman2002.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.11}
}

@ARTICLE{Pitman1996,
  author = {Jim Pitman},
  title = {{Some Developments of the Blackwell-MacQueen Urn Scheme}},
  journal = {Statistics, Probability and Game Theory},
  year = {1996},
  file = {:home/leo/References/p/Pitman1996.pdf:PDF},
  owner = {leo},
  timestamp = {2010.01.09}
}

@ARTICLE{pitman1996random,
  author = {Pitman, J.},
  title = {{Random discrete distributions invariant under size-biased permutation}},
  journal = {Advances in Applied Probability},
  year = {1996},
  volume = {28},
  pages = {525--539},
  number = {2},
  file = {:/home/leo/References/p/Pitman1996random.pdf:PDF},
  publisher = {Applied Probability Trust}
}

@ARTICLE{Pitman1995,
  author = {Jim Pitman},
  title = {Exchangeable and partially exchangeable random partitions},
  journal = {Probab. Th. Rel. Fields},
  year = {1995},
  volume = {102},
  pages = {145-158},
  file = {:home/leo/References/p/Pitman1995.pdf:PDF},
  keywords = {Exchangeable random partition, Partition structure, Partially exchangeable},
  mrclass = {60G09 (60C05)},
  mrnumber = {MR1337249},
  znumber = {0821.60047}
}

@TECHREPORT{Pitman1992,
  author = {J. Pitman},
  title = {The two-parameter generalization of {E}wens’ random partition structure},
  institution = {Dept. Statistics, U. C. Berkeley},
  year = {1992},
  type = {Technical report},
  number = {345},
  note = {http://www.stat.berkeley.edu/tech-reports/},
  file = {:/home/leo/References/p/Pitman1992.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.27}
}

@ARTICLE{Pitman2008,
  author = {Jim Pitman and Matthias Winkel},
  title = {Regenerative tree growth: binary self-similar continuum random trees
	and Poisson-Dirichlet compositions},
  year = {2008},
  month = mar,
  abstract = {We use a natural ordered extension of the Chinese Restaurant Process
	to grow a two-parameter family of binary self-similar continuum fragmentation
	trees. We provide an explicit embedding of Ford's sequence of alpha
	model trees in the continuum tree which we identified in a previous
	article as a distributional scaling limit of Ford's trees. In general,
	the Markov branching trees induced by the two-parameter growth rule
	are not sampling consistent, so the existence of compact limiting
	trees cannot be deduced from previous work on the sampling consistent
	case. We develop here a new approach to establish such limits, based
	on regenerative interval partitions and the urn-model description
	of sampling from Dirichlet random distributions.},
  comments = {33 pages, 4 figures},
  eprint = {0803.3098},
  file = {:home/leo/References/p/Pitman2008.pdf:PDF},
  oai2identifier = {0803.3098},
  owner = {leo},
  timestamp = {2009.08.09}
}

@ARTICLE{Pitman1997,
  author = {Pitman, J. and Yor, M.},
  title = {Two-parameter {P}oisson-{D}irichlet distribution derived from a stable
	subordinator},
  journal = {The Annals of Probability},
  year = {1997},
  volume = {25},
  pages = {855-900},
  number = {2},
  file = {:home/leo/References/p/Pitman1997.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.09}
}

@ARTICLE{pittel2007limit,
  author = {Pittel, B. and Romik, D.},
  title = {{Limit shapes for random square Young tableaux}},
  journal = {Advances in Applied Mathematics},
  year = {2007},
  volume = {38},
  pages = {164--209},
  number = {2},
  file = {:p/Pittel_Romik_SqYTableaux.pdf:PDF},
  issn = {0196-8858},
  publisher = {Elsevier}
}

@ARTICLE{pittel2004limit,
  author = {Pittel, B. and Romik, D.},
  title = {{Limit shapes for random square Young tableaux and plane partitions}},
  journal = {Arxiv preprint math/0405190},
  year = {2004},
  file = {:p/Pittel_Romik_PlanePart_2004.pdf:PDF}
}

@ARTICLE{PhahoferSpohn2002,
  author = {M. Praehofer and H. Spohn},
  title = {{Scale invariance of the PNG droplet and the Airy process}},
  journal = {J. Stat. Phys.},
  year = {2002},
  volume = {108},
  pages = {1071–1106},
  note = {arXiv: math.PR/0105240},
  file = {:/home/leo/References/p/Phaehofer2002PNG.pdf:PDF},
  owner = {leo},
  timestamp = {2010.09.13}
}

@ARTICLE{Pukanszky_SL2_1964,
  author = {Pukanszky, L.},
  title = {{The Plancherel formula for the universal covering group of $SL(2,\mathbb{R})$}},
  journal = {Mathematische Annalen},
  year = {1964},
  volume = {156},
  pages = {96-143},
  number = {2},
  file = {:/home/leo/References/p/Pukanszky_SL2-MathAnn-1964.pdf:PDF},
  owner = {leo},
  timestamp = {2010.11.11}
}

@BOOK{Raftery1996,
  title = {{Markov chain Monte Carlo in practice}},
  year = {1996},
  author = {Raftery, A.E. and Lewis, S.M. and Gilks, W.R. and Richardson, S.
	and Spiegelhalter, D.J.},
  pages = {163},
  journal = {editors WR Gilks, S. Richardson and DJ Spiegelhalter, Chapman \&
	Hall, Suffolk, UK}
}

@ELECTRONIC{Rains2000,
  author = {Rains, E.M.},
  year = {2000},
  title = {Correlation functions for symmetrized increasing subsequences},
  note = {arXiv:math/0006097 [math.CO]},
  url = {http://arxiv.org/abs/math/0006097},
  abstract = {We show that the correlation functions associated to symmetrized increasing
	subsequence problems can be expressed as pfaffians of certain antisymmetric
	matrix kernels, thus generalizing the result of math.RT/9907127 for
	the unsymmetrized case.},
  comments = {29 pages, LaTeX},
  eprint = {math/0006097},
  file = {:home/leo/References/r/Rains2000.pdf:PDF},
  oai2identifier = {math/0006097},
  owner = {leo},
  timestamp = {2009.03.12}
}

@ARTICLE{Rains2000a,
  author = {Eric M. Rains},
  title = {A mean identity for longest increasing subsequence problems},
  year = {2000},
  abstract = {We show that a wide variety of generalized increasing subsequence
	problems admit a one parameter family of extensions for which we
	can exactly compute the mean length of the longest increasing subsequence.
	By the nature of the extension, this gives upper bounds on the mean
	in the unextended model, which turn out to be asymptotically tight
	for all of the models that have so far been analyzed. A heuristic
	analysis based on this fact gives not just the asymptotic mean but
	also the asymptotic scale factor, again agreeing with all known cases.},
  comments = {15 pages, LaTeX. Continuous limits consolidated, other minor changes},
  eprint = {math/0004082},
  file = {:home/leo/References/r/Rains2000a.pdf:PDF},
  oai2identifier = {math/0004082},
  owner = {leo},
  timestamp = {2009.03.12},
  url = {http://arxiv.org/abs/math/0004082}
}

@ARTICLE{Ramanujan1919,
  author = {S. Ramanujan},
  title = {Proof of certain identities in combinatorial analysis},
  journal = {Proc. Camb. Phil. Soc.},
  year = {1919},
  volume = {19},
  pages = {214-216},
  note = {Collected Papers of Srinivasa Ramanujan, ed. G. H. Hardy, P. V. Seshu
	Aiyar and B. M. Wilson. Cambridge University Press (1927), pp. 214--215.
	Reprinted (1962) by Chelsea, New York},
  owner = {leo},
  timestamp = {2009.07.26}
}

@ARTICLE{Riordan1969,
  author = {J. Riordan and N. J. A. Sloane},
  title = {The enumeration of rooted trees by total height},
  journal = {J. Austral. Math. Soc.},
  year = {1969},
  volume = {10},
  pages = {278-282},
  owner = {leo},
  timestamp = {2009.06.17}
}

@ARTICLE{Roby92RSK,
  author = {Thomas Roby},
  title = {{Robinson-Schensted Correspondences for Diﬀerential Posets}},
  year = {1992},
  file = {:home/leo/References/r/Roby92RSK.pdf:PDF},
  owner = {leo},
  timestamp = {2010.04.15}
}

@PHDTHESIS{Roby91ThesisRSK,
  author = {T. Roby},
  title = {{Applications and Extensions of Fomin's Generalization of Robinson-Schensted
	Correspondence to Differential Posets}},
  school = {MIT},
  year = {1991},
  file = {:home/leo/References/r/Roby91ThesisRSK.pdf:PDF},
  owner = {leo},
  timestamp = {2010.04.15}
}

@ARTICLE{Rockner1996,
  author = {Rockner, M.},
  title = {{Dirichlet forms on infinite-dimensional$\backslash$ manifold-like"
	state spaces: a survey of recent results and some prospects for the
	future}},
  file = {:/home/leo/References/r/Rockner1996.pdf:PDF}
}

@ARTICLE{rozhkovskaya1997multiplicative,
  author = {Rozhkovskaya, N.},
  title = {{Multiplicative distributions on Young graph}},
  journal = {Jour. Math. Sci. (New York)},
  year = {1999},
  volume = {96},
  pages = {3600-3608},
  number = {5},
  note = {in Russian: Zap. Nauchn. Sem. POMI {\bf{}240\/} (1997), 245--256},
  file = {:/home/leo/References/r/Rozhkovskaya1997Young.pdf:PDF},
  publisher = {St. Petersburg Department of Steklov Institute of Mathematics, Russian
	Academy of Sciences}
}

@ARTICLE{Ruggiero2009,
  author = {Ruggiero, M.},
  title = {{On the representation of Fleming-Viot models from a Bayesian perspective}},
  year = {2009},
  file = {:home/leo/References/r/Ruggiero2009.pdf:PDF}
}

@ARTICLE{Ruggiero2007,
  author = {Ruggiero, M.},
  title = {{Bayesian countable representation of some population genetics diffusions}},
  year = {2007},
  file = {:home/leo/References/r/Ruggiero2007.pdf:PDF}
}

@ARTICLE{Ruggiero2007b,
  author = {Ruggiero, M.},
  title = {{Bayesian Nonparametric Construction of Fleming-Viot Models in Population
	Genetics}},
  journal = {Local Organizing Committee},
  year = {2007},
  file = {:home/leo/References/r/Ruggiero2007b.pdf:PDF}
}

@ARTICLE{Ruggiero2009a,
  author = {Ruggiero, M. and Walker, S.G.},
  title = {{Countable representation for infinite dimensional diffusions derived
	from the two-parameter Poisson-Dirichlet process}},
  journal = {Electronic Communications in Probability},
  year = {2009},
  volume = {14},
  pages = {501--517},
  file = {:home/leo/References/r/Ruggiero2009a.pdf:PDF}
}

@ARTICLE{Ruggiero2007a,
  author = {Ruggiero, M. and Walker, S.G.},
  title = {{Construction and stationary distribution of the Fleming-Viot process
	with viability selection}},
  journal = {Preprint},
  year = {2007},
  file = {:home/leo/References/r/Ruggiero2007a.pdf:PDF}
}

@BOOK{sagan2001symmetric,
  title = {{The symmetric group: representations, combinatorial algorithms,
	and symmetric functions}},
  publisher = {Springer Verlag},
  year = {2001},
  author = {Sagan, B.E.},
  isbn = {0387950672}
}

@ARTICLE{Sag87,
  author = {Sagan, B.E.},
  title = {{Shifted tableaux, Schur Q-functions, and a conjecture of Stanley}},
  journal = {J. Comb. Theo. A},
  year = {1987},
  volume = {45},
  pages = {62-103},
  file = {:/home/leo/References/s/Sagan1987ShiftedRSK.pdf:PDF},
  owner = {leo},
  timestamp = {2010.04.12}
}

@ARTICLE{sagan1990robinson,
  author = {Sagan, B.E. and Stanley, R.P.},
  title = {{Robinson-Schensted algorithms for skew tableaux}},
  journal = {Journal of Combinatorial Theory, Series A},
  year = {1990},
  volume = {55},
  pages = {161--193},
  number = {2},
  file = {:/home/leo/References/s/SaganStanley1990ShiftedRSK.pdf:PDF},
  publisher = {Elsevier}
}

@ARTICLE{schied1997geometric,
  author = {Schied, A.},
  title = {{Geometric aspects of Fleming-Viot and Dawson-Watanabe processes}},
  journal = {The annals of Probability},
  year = {1997},
  volume = {25},
  pages = {1160--1179},
  number = {3},
  file = {:/home/leo/References/s/Shied1997.pdf:PDF},
  publisher = {Institute of Mathematical Statistics}
}

@ARTICLE{schied1996geometric,
  author = {Schied, A.},
  title = {{Geometric aspects of Fleming-Viot and superprocesses}},
  year = {1996},
  file = {:/home/leo/References/s/Shied1996.pdf:PDF},
  publisher = {Citeseer}
}

@ARTICLE{schmuland1995local,
  author = {Schmuland, B.},
  title = {On the local property for positivity preserving coercive forms, Dirichlet
	forms and stochastic processes},
  year = {1995},
  file = {:/home/leo/References/s/Schmuland1995.pdf:PDF},
  publisher = {de Gruyter, Berlin}
}

@ARTICLE{schmuland1991result,
  author = {Schmuland, B.},
  title = {{A result on the infinitely many neutral alleles diffusion model}},
  journal = {Journal of Applied Probability},
  year = {1991},
  volume = {28},
  pages = {253--267},
  number = {2},
  file = {:/home/leo/References/s/Schmuland1991.pdf:PDF},
  publisher = {Applied Probability Trust}
}

@ARTICLE{Schur1911,
  author = {I. Schur},
  title = {{\"U}ber die {D}arstellung der symmetrischen und der alternierenden
	{G}ruppe durch gebrocheme lineare {S}ubstitionen},
  journal = {J. Reine Angew. Math.},
  year = {1911},
  volume = {139},
  pages = {155-250},
  file = {:/home/leo/References/s/Schur1911.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{sergeev1999howe,
  author = {Sergeev, AN},
  title = {{The Howe duality and the projective representations of symmetric
	groups}},
  journal = {Represent. Theory},
  year = {1999},
  volume = {3},
  pages = {416--434},
  file = {:home/leo/References/s/Sergeev-1999-Howe.pdf:PDF}
}

@ARTICLE{Shepp1966,
  author = {Shepp, LA and Lloyd, SP},
  title = {{Ordered cycle lengths in a random permutation}},
  journal = {Transactions of the American Mathematical Society},
  year = {1966},
  pages = {340--357},
  publisher = {American Mathematical Society}
}

@ARTICLE{Shiga1990,
  author = {Tokuzo Shiga},
  title = {A stochastic equation based on a {P}oisson system for a class o f
	measure-valued diffusion processes},
  journal = {J . Math. Kyoto Univ.},
  year = {1990},
  volume = {30},
  pages = {245-279},
  number = {2},
  file = {:home/leo/References/s/Shiga1990.pdf:PDF},
  owner = {leo},
  timestamp = {2009.08.30}
}

@ARTICLE{Shiga1981,
  author = {Tokuzo Shiga},
  title = {Diffusion processes in population genetics},
  journal = {J. Math. Kyoto Univ.},
  year = {1981},
  volume = {21},
  pages = {133-151},
  number = {1},
  owner = {leo},
  timestamp = {2009.07.19}
}

@BOOK{Simon2005,
  title = {Trace Ideals and Their Applications: Second Edition},
  year = {2005},
  author = {Barry Simon},
  volume = {120},
  series = {Mathematical Surveys and Monographs},
  owner = {leo},
  timestamp = {2009.11.23}
}

@ARTICLE{Sivic2008,
  author = {Sivic, J. and Russell, B.C. and Zisserman, A. and Freeman, W.T. and
	Efros, A.A.},
  title = {{Unsupervised discovery of visual object class hierarchies}},
  year = {2008},
  pages = {1--8},
  booktitle = {Proceedings of the IEEE Conference on Computer Vision and Pattern
	Recognition (CVPR-08)},
  file = {:home/leo/References/s/Sivic2008.pdf:PDF}
}

@ARTICLE{Slavnov2010Integral,
  author = {N. A. Slavnov},
  title = {Integral operators with the generalized sine-kernel on the real axis},
  file = {:/home/leo/References/s/Slavnov2010Integral.pdf:PDF},
  owner = {leo},
  timestamp = {2010.05.30}
}

@ARTICLE{Soshnikov2000,
  author = {Soshnikov, A.},
  title = {Determinantal random point fields},
  journal = {Russian Mathematical Surveys},
  year = {2000},
  volume = {55},
  pages = {923--975},
  number = {5},
  note = {arXiv:math/0002099 [math.PR]},
  abstract = {The paper contains an exposition of recent as well as old enough results
	on determinantal random point fields. We start with some general
	theorems including the proofs of the necessary and sufficient condition
	for the existence of the determinantal random point field with Hermitian
	kernel and a criterion for the weak convergence of its distribution.
	In the second section we proceed with the examples of the determinantal
	random point fields from Quantum Mechanics, Statistical Mechanics,
	Random Matrix Theory, Probability Theory, Representation Theory and
	Ergodic Theory. In connection with the Theory of Renewal Processes
	we characterize all determinantal random point fields in R^1 and
	Z^1 with independent identically distributed spacings. In the third
	section we study the translation invariant determinantal random point
	fields and prove the mixing property of any multiplicity and the
	absolute continuity of the spectra. In the fourth (and the last)
	section we discuss the proofs of the Central Limit Theorem for the
	number of particles in the growing box and the Functional Central
	Limit Theorem for the empirical distribution function of spacings.},
  comments = {To appear in the Russian Mathematical Surveys; small misprints are
	corrected},
  eprint = {math/0002099},
  file = {:home/leo/References/s/Soshnikov2000.pdf:PDF},
  oai2identifier = {math/0002099},
  owner = {leo},
  reportno = {UC Davis Math 2000-1},
  timestamp = {2009.12.03}
}

@ARTICLE{Speicher2009,
  author = {Roland Speicher},
  title = {Free Probability Theory},
  year = {2009},
  month = nov,
  abstract = {Free probability theory was created by Dan Voiculescu around 1985,
	motivated by his efforts to understand special classes of von Neumann
	algebras. His discovery in 1991 that also random matrices satisfy
	asymptotically the freeness relation transformed the theory dramatically.
	Not only did this yield spectacular results about the structure of
	operator algebras, but it also brought new concepts and tools into
	the realm of random matrix theory. In the following we will give,
	mostly from the random matrix point of view, a survey on some of
	the basic ideas and results of free probability theory.},
  comments = {21 pages; my contribution for the Handbook on Random Matrix Theory,
	to be published by Oxford University Press},
  eprint = {0911.0087},
  file = {:/home/leo/References/s/Speicher2009FreeProbability.pdf:PDF},
  oai2identifier = {0911.0087},
  owner = {leo},
  timestamp = {2010.11.01}
}

@ARTICLE{stanley2010plancherel,
  author = {Stanley, R.},
  title = {{Some combinatorial properties of hook lengths, contents, and parts
	of partitions}},
  journal = {The Ramanujan Journal},
  year = {2010},
  pages = {1--15},
  file = {:/home/leo/References/s/Stanley2010Plancherel.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{stanley1988differential,
  author = {Stanley, R.},
  title = {Differential Posets},
  journal = {Journal of the American Mathematical Society},
  year = {1988},
  volume = {1},
  pages = {919-961},
  number = {4},
  owner = {leo},
  timestamp = {2010.11.07}
}

@BOOK{Stanley1999,
  title = {Enumerative {C}ombinatorics. {V}ol. 2},
  publisher = {Cambridge University Press},
  year = {1999},
  author = {Richard P. Stanley},
  address = {Cambridge},
  note = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin},
  file = {:home/leo/References/s/Stanley-Enumerative-Vol2.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.03.11}
}

@BOOK{Stanley1997,
  title = {Enumerative {C}ombinatorics. {V}ol. 1},
  publisher = {Cambridge University Press},
  year = {1997},
  author = {Richard P. Stanley},
  address = {Cambridge},
  note = {With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986
	original.},
  file = {:home/leo/References/s/Stanley-Enumerative-Vol1.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.03.11}
}

@ARTICLE{Stembridge1997,
  author = {John Stembridge},
  title = {Enriched P-Partitions},
  journal = {Trans. Amer. Math. Soc.},
  year = {1997},
  volume = {349},
  pages = {763-788},
  file = {:home/leo/References/s/Stembridge1997.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.16}
}

@ARTICLE{Stembridge1992,
  author = {John Stembridge},
  title = {On Schur's Q-functions and the primitive idempotents of a commutative
	Hecke algebra},
  journal = {J. Algebraic Combin.},
  year = {1992},
  volume = {1},
  pages = {71-95},
  file = {:home/leo/References/s/Stembridge1992.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.11}
}

@ARTICLE{stembridge1990nonintersecting,
  author = {Stembridge, J.R.},
  title = {{Nonintersecting paths, pfaffians and plane partitions}},
  journal = {Adv. math},
  year = {1990},
  volume = {83},
  pages = {96--131},
  number = {1},
  file = {:home/leo/References/s/Stembridge1990Pfaffian.pdf:PDF}
}

@ARTICLE{Stembridge1989,
  author = {Stembridge, J.},
  title = {Shifted tableaux and the projective representations of symmetric
	groups},
  journal = {Advances in Math.},
  year = {1989},
  volume = {74},
  pages = {87-134},
  owner = {leo},
  timestamp = {2009.04.11}
}

@ARTICLE{Stembridge1985,
  author = {J. Stembridge},
  title = {A characterization of supersymmetric polynomials},
  journal = {J. Algebra},
  year = {1985},
  volume = {95},
  pages = {439-444},
  file = {:home/leo/References/s/Stembridge1985.pdf:PDF},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{Strahov2009,
  author = {Strahov, E.},
  title = {{The z-measures on partitions, Pfaffian point processes, and the
	matrix hypergeometric kernel}},
  journal = {Advances in mathematics},
  year = {2010},
  volume = {224},
  pages = {130--168},
  number = {1},
  month = may,
  note = {arXiv:0905.1994 [math-ph]},
  abstract = {We consider a point process on one-dimensional lattice originated
	from the harmonic analysis on the infinite symmetric group, and defined
	by the z-measures with the deformation (Jack) parameter 2. We derive
	an exact Pfaffian formula for the correlation function of this process.
	Namely, we prove that the correlation function is given as a Pfaffian
	with a matrix kernel. The kernel is given in terms of the Gauss hypergeometric
	functions, and can be considered as a matrix analogue of the Hypergeometric
	kernel introduced by A. Borodin and G. Olshanski. Our result holds
	for all values of admissible complex parameters.},
  comments = {38 pages},
  eprint = {0905.1994},
  file = {:/home/leo/References/s/Strahov-AdvMath-2010.pdf:PDF},
  oai2identifier = {0905.1994},
  owner = {leo},
  timestamp = {2010.02.27}
}

@ARTICLE{strahov2009z,
  author = {Strahov, E.},
  title = {{Z-measures on partitions related to the infinite Gelfand pair $(S
	(2\infty), H (\infty))$}},
  journal = {Journal of Algebra},
  year = {2010},
  volume = {323},
  pages = {349--370},
  number = {2},
  note = {arXiv:0904.1719 [math.RT]},
  file = {:/home/leo/References/s/Strahov-JAlg-2010.pdf:PDF},
  publisher = {Elsevier}
}

@ARTICLE{Strahov2007,
  author = {Eugene Strahov},
  title = {A Differential Model for the Deformation of the Plancherel Growth
	Process},
  year = {2007},
  month = jun,
  abstract = {In the present paper we construct and solve a differential model for
	the q-analog of the Plancherel growth process. The construction is
	based on a deformation of the Makrov-Krein correspondence between
	continual diagrams and probability distributions.},
  comments = {33 pages},
  eprint = {0706.3292},
  file = {:home/leo/References/s/Strahov2007.pdf:PDF},
  oai2identifier = {0706.3292},
  owner = {leo},
  timestamp = {2009.04.13},
  url = {http://arxiv.org/abs/0706.3292}
}

@BOOK{Stroock1996,
  title = {{Dirichlet forms \& symmetric Markov processes, by M. Fukushima,
	Y. Oshima, and M. Takeda; Dirichlet forms, by Zhi-Ming Ma and Michael
	Rockner, books survey}},
  year = {1996},
  author = {Stroock, D.W.},
  file = {:/home/leo/References/s/Stroock1996.pdf:PDF}
}

@ARTICLE{Takacs1991,
  author = {Lajos Takács},
  title = {A Bernoulli Excursion and Its Various Applications},
  journal = {Advances in Applied Probability},
  year = {1991},
  volume = {23},
  pages = {557-585},
  number = {3},
  file = {:home/leo/References/t/Takacs1991.pdf:PDF},
  owner = {leo},
  timestamp = {2009.06.17}
}

@ARTICLE{Takacs1986,
  author = {L. Takács},
  title = {Some asymptotic formulas for lattice paths},
  journal = {J. Statist. Planning Inf.},
  year = {1986},
  volume = {14},
  pages = {123-142},
  owner = {leo},
  timestamp = {2009.06.17}
}

@ARTICLE{Teh2006a,
  author = {Teh, Y.W.},
  title = {{A hierarchical Bayesian language model based on Pitman-Yor processes}},
  year = {2006},
  pages = {985-992},
  booktitle = {Proceedings of the 21st International Conference on Computational
	Linguistics and the 44th annual meeting of the Association for Computational
	Linguistics},
  organization = {Association for Computational Linguistics}
}

@ARTICLE{Teh2006,
  author = {Teh, Y.W. and Jordan, M.I. and Beal, M.J. and Blei, D.M.},
  title = {{Hierarchical dirichlet processes}},
  journal = {Journal of the American Statistical Association},
  year = {2006},
  volume = {101},
  pages = {1566--1581},
  number = {476},
  publisher = {Citeseer}
}

@CONFERENCE{Teh2009,
  author = {Yee Whye Teh},
  title = {{An Introduction to Bayesian Nonparametric Modelling}},
  booktitle = {{Gatsby Computational Neuroscience Unit University College London}},
  year = {2009},
  file = {:home/leo/References/t/Teh2009.pdf:PDF},
  owner = {leo},
  timestamp = {2010.01.12}
}

@ARTICLE{Teh2007,
  author = {Y. W. Teh},
  title = {{D}irichlet Processes},
  year = {2007},
  note = {Submitted to Encyclopedia of Machine Learning},
  file = {:home/leo/References/t/Teh2007.pdf:PDF}
}

@ARTICLE{Thoma1964,
  author = {E. Thoma},
  title = {Die unzerlegbaren, positive-definiten {K}lassenfunktionen der abz\"ahlbar
	unendlichen, symmetrischen {G}ruppe},
  journal = {Math. Zeitschr},
  year = {1964},
  volume = {85},
  pages = {40-61},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{tierz2010schur,
  author = {Tierz, M.},
  title = {{Schur polynomials and biorthogonal random matrix ensembles}},
  journal = {Journal of Mathematical Physics},
  year = {2010},
  volume = {51},
  pages = {063509},
  file = {:/home/leo/References/t/Tierz2010Schur.pdf:PDF}
}

@ARTICLE{Tracy1991,
  author = {C. A. Tracy},
  title = {{Asymptotics of a $\tau$-function arising in the two–dimensional
	Ising model}},
  journal = {Comm. Math. Phys.},
  year = {1991},
  volume = {142},
  pages = {297-311},
  number = {2},
  owner = {leo},
  timestamp = {2009.12.03}
}

@ARTICLE{Tracy2004,
  author = {Craig A. Tracy and Harold Widom},
  title = {{A Limit Theorem for Shifted Schur Measures}},
  journal = {Duke Mathematical Journal},
  year = {2004},
  volume = {123},
  pages = {171-208},
  abstract = {To each partition $\lambda$ with distinct parts we assign the probability
	$Q_\lambda(x) P_\lambda(y)/Z$ where $Q_\lambda$ and $P_\lambda$ are
	the Schur $Q$-functions and $Z$ is a normalization constant. This
	measure, which we call the shifted Schur measure, is analogous to
	the much-studied Schur measure. For the specialization of the first
	$m$ coordinates of $x$ and the first $n$ coordinates of $y$ equal
	to $\alpha$ ($0<\alpha<1$) and the rest equal to zero, we derive
	a limit law for $\lambda_1$ as $m,n\ra\infty$ with $\tau=m/n$ fixed.
	For the Schur measure the $\alpha$-specialization limit law was derived
	by Johansson. Our main result implies that the two limit laws are
	identical.},
  comments = {35 pages, 2 figures. Version 3 adds a section on the Poisson limit
	of the shifted Schur measure},
  eprint = {math/0210255},
  file = {:/home/leo/References/t/Tracy2004.pdf:PDF},
  oai2identifier = {math/0210255},
  owner = {leo},
  timestamp = {2010.02.27}
}

@ARTICLE{tracy1998correlation,
  author = {Tracy, C.A. and Widom, H.},
  title = {{Correlation functions, cluster functions, and spacing distributions
	for random matrices}},
  journal = {Journal of Statistical Physics},
  year = {1998},
  volume = {92},
  pages = {809--835},
  number = {5},
  file = {:/home/leo/References/t/TracyWidom[ClusterFunctions]JStatPhys-1998.pdf:PDF},
  publisher = {Springer}
}

@ARTICLE{tracy1996orthogonal,
  author = {Tracy, C.A. and Widom, H.},
  title = {{On orthogonal and symplectic matrix ensembles}},
  journal = {Communications in Mathematical Physics},
  year = {1996},
  volume = {177},
  pages = {727--754},
  number = {3},
  note = {arXiv:solv-int/9509007},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{tracy1994level,
  author = {Tracy, C.A. and Widom, H.},
  title = {{Level spacing distributions and the Bessel kernel}},
  journal = {Communications in Mathematical Physics},
  year = {1994},
  volume = {161},
  pages = {289--309},
  number = {2},
  note = {arXiv:hep-th/9304063},
  file = {:/home/leo/References/t/Tracy_WIdom_1993_Spacings_Bessel.pdf:PDF},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{tracy_widom1994level_airy,
  author = {Tracy, C.A. and Widom, H.},
  title = {{Level-spacing distributions and the Airy kernel}},
  journal = {Communications in Mathematical Physics},
  year = {1994},
  volume = {159},
  pages = {151--174},
  number = {1},
  note = {arXiv:hep-th/9211141},
  file = {:/home/leo/References/t/Tracy_WIdom_1994_Spacings_Airy.pdf:PDF},
  issn = {0010-3616},
  publisher = {Springer}
}

@ARTICLE{Trotter1958,
  author = {H. F. Trotter},
  title = {Approximation of {S}emigroups of {O}perators},
  journal = {Pacific J. Math},
  year = {1958},
  volume = {8},
  pages = {887-919},
  owner = {leo},
  timestamp = {2009.03.26}
}

@ARTICLE{van2002random,
  author = {Van Moerbeke, P.},
  title = {{Random matrices and permutations, matrix integrals and integrable
	systems}},
  journal = {ASTERISQUE-SOCIETE MATHEMATIQUE DE FRANCE},
  year = {2002},
  volume = {276},
  pages = {411--433},
  file = {:m/vanMoerbeke_RandomPerm_IntergSyst1999.pdf:PDF},
  issn = {0303-1179},
  publisher = {CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE}
}

@ARTICLE{Vershik1996StatMech,
  author = {Vershik, A.M.},
  title = {Statistical mechanics of combinatorial partitions, and their limit
	shapes},
  journal = {Funct. Anal. Appl.},
  year = {1996},
  volume = {30},
  pages = {90-105},
  owner = {leo},
  timestamp = {2010.09.15}
}

@ARTICLE{Vershik1986a,
  author = {Vershik, AM},
  title = {{The asymptotic distribution of factorizations of natural numbers
	into prime divisors}},
  year = {1986},
  volume = {34},
  pages = {57--61},
  booktitle = {Soviet Math. Dokl}
}

@ARTICLE{vershik1987locally,
  author = {Vershik, A. and Kerov, S.},
  title = {{Locally semisimple algebras. Combinatorial theory and the $K_0$-functor}},
  journal = {Journal of Mathematical Sciences},
  year = {1987},
  volume = {38},
  pages = {1701--1733},
  number = {2},
  issn = {1072-3374},
  publisher = {Springer}
}

@ARTICLE{Vershik1986,
  author = {A. Vershik and S. Kerov},
  title = {The characters of the Infinite Symmetric Group and Probabiliy Properties
	of the {R}obinson-{S}hensted-{K}nuth algorithm},
  journal = {Sima J. Alg. Disc. Math.},
  year = {1986},
  volume = {7},
  pages = {116-124},
  number = {1},
  file = {:home/leo/References/v/Vershik1986.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.12}
}

@ARTICLE{VershikKerov_LimShape1985,
  author = {Vershik, A.M. and Kerov, S.V.},
  title = {Asymptotics of the largest and the typical dimensions of irreducible
	representations of a symmetric group},
  journal = {Funktsional. Anal. i Prilozhen.},
  year = {1985},
  volume = {19},
  pages = {25-36},
  number = {1},
  note = {English translation: Funct. Anal. Appl. \textbf{19} (1985), 21–-31},
  owner = {leo},
  timestamp = {2010.12.03}
}

@ARTICLE{VershikKerov_LimShape1077,
  author = {Vershik, A.M. and Kerov, S.V.},
  title = {Asymptotics of the Plancherel measure of the symmetric group and
	the limiting form of Young tableaux},
  journal = {Doklady AN SSSR},
  year = {1977},
  volume = {233},
  pages = {1024–1027},
  number = {6},
  note = {English translation: Soviet Mathematics Doklady \textbf{18} (1977),
	527–-531},
  owner = {leo},
  timestamp = {2010.12.03}
}

@ARTICLE{Schmidt1978,
  author = {Vershik, A.M. and Schmidt, A.A.},
  title = {{Limit measures arising in the asymptotic theory of the symmetric
	group}},
  journal = {Theo. of Prob. and its Appl},
  year = {1978},
  volume = {22},
  pages = {72--88}
}

@ARTICLE{Vershik1977,
  author = {Vershik, AM and Shimdt, AA},
  title = {{Limit Measures Arising in the Asympyotic Theory of Symmetric Groups.
	I.}},
  journal = {Theory of Probability and its Applications},
  year = {1977},
  volume = {22},
  pages = {70}
}

@ARTICLE{VS1977,
  author = {A. Vershik and A. Shmidt},
  title = {Limit measures that arise in the asymptotic theory of symmetric groups
	I,II},
  journal = {Teor.Verojatnost. i Primenen.},
  year = {1977, 1978},
  volume = {22, 23},
  pages = {72 - 88, 42 - 54},
  owner = {leo},
  timestamp = {2010.01.14}
}

@ARTICLE{Vershik1997,
  author = {A. M. Vershik},
  title = {Adic realizations of ergodic actions by homeomorphisms of Markov
	compacta and ordered Bratteli diagrams},
  journal = {Journal of Mathematical Sciences},
  year = {1997},
  volume = {87},
  pages = {4054-4058},
  number = {6},
  note = {Published inZapiski Nauchnykh Seminarov POMI, Vol. 223, 1995, pp.
	120–126.},
  file = {:home/leo/References/v/Vershik1997.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.02}
}

@ARTICLE{Vershik1985,
  author = {A. M. Vershik},
  title = {A theorem on the Markov periodic approximation in ergodic theory},
  journal = {Journal of Mathematical Sciences},
  year = {1985},
  volume = {28},
  pages = {667-674},
  number = {5},
  note = {Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya
	Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 115,
	pp. 72–82, 1982.},
  file = {:home/leo/References/v/Vershik1985.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.02}
}

@BOOK{Vilenkin-SpecFunc,
  title = {Special functions and the theory of group representations},
  publisher = {AMS},
  year = {1968},
  author = {N. Vilenkin},
  series = {Translations of Mathematical Monographs, 22},
  owner = {leo},
  timestamp = {2010.08.22}
}

@ARTICLE{Voloshin1974,
  author = {M. Voloshin},
  title = {Enumeration of the terms of the object domains according to the depth
	of embedding},
  journal = {Soviet Math. Dokl.},
  year = {1974},
  volume = {15},
  pages = {1777-1782},
  owner = {leo},
  timestamp = {2009.06.17}
}

@ARTICLE{vuletic2009generalization,
  author = {Vuletic, M.},
  title = {{A generalization of MacMahon’s formula}},
  journal = {AMERICAN MATHEMATICAL SOCIETY},
  year = {2009},
  volume = {361},
  pages = {2789--2804},
  number = {5},
  file = {:/home/leo/References/v/Vuletic2007macmahon.pdf:PDF}
}

@ARTICLE{vuletic2007shifted,
  author = {Vuletic, M.},
  title = {{Shifted Schur Process and Asymptotics of Large Random Strict Plane
	Partitions}},
  journal = {International Mathematics Research Notices},
  year = {2007},
  volume = {2007},
  number = {rnm043},
  note = {arXiv:math-ph/0702068},
  file = {:/home/leo/References/v/Vuletic2007.pdf:PDF}
}

@ARTICLE{Walker1999,
  author = {Walker, S.G. and Damien, P. and Laud, P.W. and Smith, A.F.M.},
  title = {{Bayesian nonparametric inference for random distributions and related
	functions}},
  journal = {Journal of the Royal Statistical Society. Series B (Statistical Methodology)},
  year = {1999},
  volume = {61},
  pages = {485--527},
  number = {3},
  publisher = {Blackwell Publishing; Royal Statistical Society}
}

@ARTICLE{Walker2007a,
  author = {Walker, S.G. and Hatjispyros, S.J. and Nicoleris, T.},
  title = {{A Fleming-Viot process and Bayesian nonparametrics}},
  journal = {Annals of Applied Probability},
  year = {2007},
  volume = {17},
  pages = {67--80},
  number = {5-6},
  file = {:home/leo/References/w/Walker2007a.pdf:PDF},
  publisher = {Hayward, Calif.: The Institute, c1991-}
}

@ARTICLE{Walker2007,
  author = {Walker, S.G. and Ruggiero, M.},
  title = {{Bayesian nonparametric construction of the Fleming-Viot process
	with fertility selection}},
  journal = {Preprint},
  year = {2007},
  file = {:home/leo/References/w/Walker2007.pdf:PDF}
}

@ARTICLE{warren2005dyson,
  author = {Warren, J.},
  title = {{Dyson's Brownian motions, intertwining and interlacing}},
  journal = {Electron. J. Probab.},
  year = {2007},
  volume = {12},
  pages = {573--590},
  number = {19},
  note = {arXiv:math/0509720 [math.PR]}
}

@ARTICLE{Watterson1976reversibility,
  author = {Watterson, GA},
  title = {{Reversibility and the age of an allele. I. Moran’s infinitely many
	neutral alleles model}},
  journal = {Theoretical Population Biology},
  year = {1976},
  volume = {10},
  pages = {239--253}
}

@BOOK{Weyl1946,
  title = {{The Classical Groups. Their Invariants and Representations}},
  publisher = {Princeton University Press},
  year = {1946},
  author = {Hermann Weyl},
  owner = {leo},
  timestamp = {2011.01.18}
}

@ELECTRONIC{Wiki-NNG,
  author = {Wikipedia},
  note = {http://en.wikipedia.org/wiki/Nearest\_neighbor\_graph},
  url = {http://en.wikipedia.org/wiki/Nearest_neighbor_graph},
  owner = {leo},
  timestamp = {2009.04.03}
}

@BOOK{wilf1989combinatorial,
  title = {{Combinatorial algorithms: an update}},
  publisher = {Society for Industrial Mathematics},
  year = {1989},
  author = {Wilf, H.S. and Nijenhuis, A.}
}

@BOOK{Wilf1990,
  title = {Generatingfunctionology},
  publisher = {Academic Press},
  year = {1990},
  author = {Herbert S. Wilf},
  file = {:home/leo/References/w/Wilf1990.pdf:PDF},
  owner = {leo},
  timestamp = {2009.05.22}
}

@PHDTHESIS{worley1984theory,
  author = {Worley, D.R.},
  title = {{A theory of shifted Young tableaux}},
  school = {MIT, Dept. of Mathematics},
  year = {1984}
}

@BOOK{Zipf1932,
  title = {{Selective Studies and the Principle of Relative Frequency in Language}},
  publisher = {Harvard University Press, Cambridge, MA},
  year = {1932},
  author = {G. Zipf},
  owner = {leo},
  timestamp = {2010.01.12}
}

@ARTICLE{Zirnbauer2010,
  author = {Martin R. Zirnbauer},
  title = {Symmetry Classes},
  year = {2010},
  month = jan,
  abstract = {Physical systems exhibiting stochastic or chaotic behavior are often
	amenable to treatment by random matrix models. In deciding on a good
	choice of model, random matrix physics is constrained and guided
	by symmetry considerations. The notion of 'symmetry class' (not to
	be confused with 'universality class') expresses the relevance of
	symmetries as an organizational principle. Dyson, in his 1962 paper
	referred to as the Threefold Way, gave the prime classification of
	random matrix ensembles based on a quantum mechanical setting with
	symmetries. In this article we review Dyson's Threefold Way from
	a modern perspective. We then describe a minimal extension of Dyson's
	setting to incorporate the physics of chiral Dirac fermions and disordered
	superconductors. In this minimally extended setting, where Hilbert
	space is replaced by Fock space equipped with the anti-unitary operation
	of particle-hole conjugation, symmetry classes are in one-to-one
	correspondence with the large families of Riemannian symmetric spaces.},
  comments = {article contributed to the Oxford Handbook of Random Matrix Theory,
	22 pages},
  eprint = {1001.0722},
  file = {:/home/leo/References/z/Zirnbauer2010RandomMatrices.pdf:PDF},
  oai2identifier = {1001.0722},
  owner = {leo},
  timestamp = {2010.11.01}
}

@BOOK{Beitmen1973,
  title = {Высшие трансцендентные функции},
  publisher = {Москва, Наука},
  year = {1973},
  author = {Г. Бейтмен и А. Эрдейи},
  file = {:home/leo/References/b/Beitmen1973-1.djvu:Djvu;:home/leo/References/b/Beitmen1973-2.djvu:Djvu;:home/leo/References/b/Beitmen1973-3.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.10.02}
}

@BOOK{Bogachev2008,
  title = {Дифференцируемые меры и исчисление Маллявэна},
  publisher = {Москва--Ижевск, НИЦ ``Регулярная и хаотическая динамика'', Ижевский
	институт компьютерных исследований},
  year = {2008},
  author = {Владимир Игоревич Богачев},
  owner = {leo},
  timestamp = {2009.03.24}
}

@ARTICLE{Veretennikov-Fin,
  author = {А. Ю. Веретенников},
  title = {Лекции по марковским процессам (финский препринт)},
  file = {:home/leo/References/v/Veretennikov-Fin.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.01}
}

@ARTICLE{Veretennikov-MSU,
  author = {А. Ю. Веретенников},
  title = {Лекции по марковским процессам},
  file = {:home/leo/References/v/Veretennikov-MSU.pdf:PDF},
  owner = {leo},
  timestamp = {2009.04.01}
}

@BOOK{Gelfand1950,
  title = {Унитарные представления классических групп},
  publisher = {Изд-во АН СССР, М.-Л.},
  year = {1950},
  author = {Гельфанд, И.М., Наймарк, М.А.},
  pages = {3-228},
  series = {Тр. МИАН СССР т. 36},
  owner = {leo},
  timestamp = {2009.11.21}
}

@BOOK{Gohberg1965,
  title = {Введение в теорию линейных несамосопряжённых операторов},
  publisher = {Москва: Наука},
  year = {1965},
  author = {Гохберг, И.Ц. and Крейн, М.Г.},
  owner = {leo},
  timestamp = {2009.11.23}
}

@BOOK{Gulden1990,
  title = {Перечислительная комбинаторика},
  publisher = {Москва, Наука},
  year = {1990},
  author = {Я. Гульден и Д. Джексон},
  file = {:home/leo/References/g/Gulden1990.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.05.22}
}

@BOOK{Doob1956,
  title = {Вероятностные {П}роцессы},
  publisher = {Москва, Иностранная Литература},
  year = {1956},
  author = {Дж.~Л.~Дуб},
  note = {пер. с англ. Р.~Л.~Добрушина и А.~М.~Яглома под ред. А.~М.~Яглома},
  file = {:home/leo/References/d/Doob1956.djvu:Djvu},
  owner = {leo},
  timestamp = {2009.04.01}
}

@BOOK{Zhelobenko1970,
  title = {{Компактные группы Ли и их представления}},
  publisher = {М., Наука},
  year = {1970},
  author = {Желобенко, Д.П.},
  file = {:/home/leo/References/z/Zhelobenko-compLie.djvu:Djvu}
}

@BOOK{Ibragimov1965,
  title = {Независимые и стационарно связанные величины},
  publisher = {Москва, Наука},
  year = {1965},
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@BOOK{,
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